{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multi-step forecasting: recursive approach\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In the previous notebooks, we predicted the hourly pollutant concentration for the next 24 hours manually. We will now automate the process and make predictions for various points in the test set.\n",
    "\n",
    "## Data\n",
    "\n",
    "We will work with the Air Quality Dataset from the [UCI Machine Learning Repository](https://archive.ics.uci.edu/ml/datasets/Air+Quality).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 3, in the folder \"01-Datasets\" from this repo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from feature_engine.creation import CyclicalFeatures\n",
    "from feature_engine.datetime import DatetimeFeatures\n",
    "from feature_engine.imputation import DropMissingData\n",
    "from feature_engine.selection import DropFeatures\n",
    "from feature_engine.timeseries.forecasting import (\n",
    "    LagFeatures,\n",
    "    WindowFeatures,\n",
    ")\n",
    "\n",
    "from sklearn.linear_model import Lasso\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.multioutput import MultiOutputRegressor\n",
    "from sklearn.pipeline import Pipeline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Same function we saw in section 2.\n",
    "\n",
    "def load_data():\n",
    "\n",
    "    # Data lives here.\n",
    "    filename = \"../datasets/AirQualityUCI_ready.csv\"\n",
    "\n",
    "    # Load data: only the time variable and CO.\n",
    "    data = pd.read_csv(\n",
    "        filename,\n",
    "        usecols=[\"Date_Time\", \"CO_sensor\", \"RH\"],\n",
    "        parse_dates=[\"Date_Time\"],\n",
    "        index_col=[\"Date_Time\"],\n",
    "    )\n",
    "\n",
    "    # Sanity: sort index.\n",
    "    data.sort_index(inplace=True)\n",
    "\n",
    "    # Reduce data span.\n",
    "    data = data[\"2004-04-01\":\"2005-04-30\"]\n",
    "\n",
    "    # Remove outliers\n",
    "    data = data.loc[(data[\"CO_sensor\"] > 0)]\n",
    "    \n",
    "    ######## NEW #########\n",
    "    # Add missing timestamps (easier for the demo)\n",
    "    data = data.asfreq(\"1H\")\n",
    "\n",
    "    # Fill in missing data.\n",
    "    data = data.fillna(method=\"ffill\")\n",
    "    ######################\n",
    "    \n",
    "    return data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CO_sensor</th>\n",
       "      <th>RH</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date_Time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2004-04-04 00:00:00</th>\n",
       "      <td>1224.0</td>\n",
       "      <td>56.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-04 01:00:00</th>\n",
       "      <td>1215.0</td>\n",
       "      <td>59.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-04 02:00:00</th>\n",
       "      <td>1115.0</td>\n",
       "      <td>62.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-04 03:00:00</th>\n",
       "      <td>1124.0</td>\n",
       "      <td>65.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-04 04:00:00</th>\n",
       "      <td>1028.0</td>\n",
       "      <td>65.3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     CO_sensor    RH\n",
       "Date_Time                           \n",
       "2004-04-04 00:00:00     1224.0  56.5\n",
       "2004-04-04 01:00:00     1215.0  59.2\n",
       "2004-04-04 02:00:00     1115.0  62.4\n",
       "2004-04-04 03:00:00     1124.0  65.0\n",
       "2004-04-04 04:00:00     1028.0  65.3"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load data.\n",
    "\n",
    "data = load_data()\n",
    "\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Feature engineering steps\n",
    "\n",
    "The same pipeline from the previous notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Datetime features\n",
    "dtf = DatetimeFeatures(\n",
    "    # the datetime variable\n",
    "    variables=\"index\",\n",
    "    \n",
    "    # the features we want to create\n",
    "    features_to_extract=[\n",
    "        \"month\",\n",
    "        \"week\",\n",
    "        \"day_of_week\",\n",
    "        \"day_of_month\",\n",
    "        \"hour\",\n",
    "        \"weekend\",\n",
    "    ],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Lag features.\n",
    "\n",
    "lagf = LagFeatures(\n",
    "    variables=[\"CO_sensor\", \"RH\"],  # the input variables\n",
    "    freq=[\"1H\", \"24H\"],  # move 1 hr and 24 hrs forward\n",
    "    missing_values=\"ignore\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Window features\n",
    "\n",
    "winf = WindowFeatures(\n",
    "    variables=[\"CO_sensor\", \"RH\"],  # the input variables\n",
    "    window=\"3H\",  # average of 3 previous hours\n",
    "    freq=\"1H\",  # move 1 hr forward\n",
    "    missing_values=\"ignore\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Periodic features\n",
    "\n",
    "cyclicf = CyclicalFeatures(\n",
    "    # The features we want to transform.\n",
    "    variables=[\"month\", \"hour\"],\n",
    "    # Whether to drop the original features.\n",
    "    drop_original=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Drop missing data\n",
    "imputer = DropMissingData()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Drop original time series\n",
    "\n",
    "drop_ts = DropFeatures(features_to_drop=[\"CO_sensor\", \"RH\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Feature engineering pipeline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "pipe = Pipeline(\n",
    "    [\n",
    "        (\"datetime_features\", dtf),\n",
    "        (\"lagf\", lagf),\n",
    "        (\"winf\", winf),\n",
    "        (\"Periodic\", cyclicf),\n",
    "        (\"dropna\", imputer),\n",
    "        (\"drop_ts\", drop_ts),\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Split data into train and test\n",
    "\n",
    "We will leave the last month of data as hold-out sample to evaluate the performance of the model.\n",
    "\n",
    "Remember that we need data about the pollutant information at least 24 hours before the first forecast point in the test set to create the input features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Split the data.\n",
    "\n",
    "# input data\n",
    "X_train = data[data.index < \"2005-03-04\"]\n",
    "X_test = data[data.index >= pd.Timestamp(\"2005-03-04\") - pd.offsets.Hour(24)]\n",
    "\n",
    "# target\n",
    "y_train = data[data.index < \"2005-03-04\"][[\"CO_sensor\", \"RH\"]]\n",
    "y_test = data[data.index >= pd.Timestamp(\"2005-03-04\") - pd.offsets.Hour(24)][[\n",
    "    \"CO_sensor\", \"RH\",\n",
    "]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Train pipeline and model\n",
    "\n",
    "We train the engineering steps and the pipeline utilizing the training set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>month</th>\n",
       "      <th>week</th>\n",
       "      <th>day_of_week</th>\n",
       "      <th>day_of_month</th>\n",
       "      <th>hour</th>\n",
       "      <th>weekend</th>\n",
       "      <th>CO_sensor_lag_1H</th>\n",
       "      <th>RH_lag_1H</th>\n",
       "      <th>CO_sensor_lag_24H</th>\n",
       "      <th>RH_lag_24H</th>\n",
       "      <th>CO_sensor_window_3H_mean</th>\n",
       "      <th>RH_window_3H_mean</th>\n",
       "      <th>month_sin</th>\n",
       "      <th>month_cos</th>\n",
       "      <th>hour_sin</th>\n",
       "      <th>hour_cos</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date_Time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2004-04-05 00:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1188.0</td>\n",
       "      <td>60.8</td>\n",
       "      <td>1224.0</td>\n",
       "      <td>56.5</td>\n",
       "      <td>1165.666667</td>\n",
       "      <td>58.566667</td>\n",
       "      <td>0.866025</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-05 01:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1065.0</td>\n",
       "      <td>65.8</td>\n",
       "      <td>1215.0</td>\n",
       "      <td>59.2</td>\n",
       "      <td>1149.666667</td>\n",
       "      <td>61.800000</td>\n",
       "      <td>0.866025</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>0.269797</td>\n",
       "      <td>0.962917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-05 02:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>999.0</td>\n",
       "      <td>79.2</td>\n",
       "      <td>1115.0</td>\n",
       "      <td>62.4</td>\n",
       "      <td>1084.000000</td>\n",
       "      <td>68.600000</td>\n",
       "      <td>0.866025</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>0.519584</td>\n",
       "      <td>0.854419</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-05 03:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>911.0</td>\n",
       "      <td>80.0</td>\n",
       "      <td>1124.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>991.666667</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>0.866025</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>0.730836</td>\n",
       "      <td>0.682553</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004-04-05 04:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>873.0</td>\n",
       "      <td>81.0</td>\n",
       "      <td>1028.0</td>\n",
       "      <td>65.3</td>\n",
       "      <td>927.666667</td>\n",
       "      <td>80.066667</td>\n",
       "      <td>0.866025</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>0.887885</td>\n",
       "      <td>0.460065</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     month  week  day_of_week  day_of_month  hour  weekend  \\\n",
       "Date_Time                                                                    \n",
       "2004-04-05 00:00:00      4    15            0             5     0        0   \n",
       "2004-04-05 01:00:00      4    15            0             5     1        0   \n",
       "2004-04-05 02:00:00      4    15            0             5     2        0   \n",
       "2004-04-05 03:00:00      4    15            0             5     3        0   \n",
       "2004-04-05 04:00:00      4    15            0             5     4        0   \n",
       "\n",
       "                     CO_sensor_lag_1H  RH_lag_1H  CO_sensor_lag_24H  \\\n",
       "Date_Time                                                             \n",
       "2004-04-05 00:00:00            1188.0       60.8             1224.0   \n",
       "2004-04-05 01:00:00            1065.0       65.8             1215.0   \n",
       "2004-04-05 02:00:00             999.0       79.2             1115.0   \n",
       "2004-04-05 03:00:00             911.0       80.0             1124.0   \n",
       "2004-04-05 04:00:00             873.0       81.0             1028.0   \n",
       "\n",
       "                     RH_lag_24H  CO_sensor_window_3H_mean  RH_window_3H_mean  \\\n",
       "Date_Time                                                                      \n",
       "2004-04-05 00:00:00        56.5               1165.666667          58.566667   \n",
       "2004-04-05 01:00:00        59.2               1149.666667          61.800000   \n",
       "2004-04-05 02:00:00        62.4               1084.000000          68.600000   \n",
       "2004-04-05 03:00:00        65.0                991.666667          75.000000   \n",
       "2004-04-05 04:00:00        65.3                927.666667          80.066667   \n",
       "\n",
       "                     month_sin  month_cos  hour_sin  hour_cos  \n",
       "Date_Time                                                      \n",
       "2004-04-05 00:00:00   0.866025       -0.5  0.000000  1.000000  \n",
       "2004-04-05 01:00:00   0.866025       -0.5  0.269797  0.962917  \n",
       "2004-04-05 02:00:00   0.866025       -0.5  0.519584  0.854419  \n",
       "2004-04-05 03:00:00   0.866025       -0.5  0.730836  0.682553  \n",
       "2004-04-05 04:00:00   0.866025       -0.5  0.887885  0.460065  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Train the pipeline and create features\n",
    "# for the train set:\n",
    "\n",
    "X_train_t = pipe.fit_transform(X_train)\n",
    "\n",
    "# Data with input features.\n",
    "X_train_t.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(8016, 2)\n",
      "(7992, 2)\n"
     ]
    }
   ],
   "source": [
    "# Our transformation pipeline removed observations\n",
    "# with missing data, so we need to remove those\n",
    "# observations from the target variable as well.\n",
    "\n",
    "print(y_train.shape)\n",
    "\n",
    "y_train_t = y_train.loc[X_train_t.index]\n",
    "\n",
    "print(y_train_t.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>MultiOutputRegressor(estimator=Lasso(random_state=0))</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" ><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">MultiOutputRegressor</label><div class=\"sk-toggleable__content\"><pre>MultiOutputRegressor(estimator=Lasso(random_state=0))</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" ><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">estimator: Lasso</label><div class=\"sk-toggleable__content\"><pre>Lasso(random_state=0)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" ><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Lasso</label><div class=\"sk-toggleable__content\"><pre>Lasso(random_state=0)</pre></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "MultiOutputRegressor(estimator=Lasso(random_state=0))"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Lasso regression\n",
    "\n",
    "# We need a prediction for CO concentration\n",
    "# and a prediction for RH.\n",
    "\n",
    "lasso = MultiOutputRegressor(Lasso(random_state=0))\n",
    "\n",
    "# Train the model\n",
    "\n",
    "lasso.fit(X_train_t, y_train_t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Recursive multi-step forecasting: test set\n",
    "\n",
    "We will forecast for 24 hours for various points in our dataset. \n",
    "\n",
    "We could do 24 hour forecasts for every point, or instead, we could forecast the next 24 hours at certain intervals. There are advantages and downsides to each method, which are beyond the scope of this course.\n",
    "\n",
    "For simplicity, we will forecast 24 hours for every 24 hour interval."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The first hour of forecast.\n",
    "\n",
    "data_start = pd.Timestamp(\"2005-03-04\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timestamp('2005-04-03 14:00:00', freq='H')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The last hour of forecast (24hs before the last\n",
    "# timestamp in the test set).\n",
    "\n",
    "data_end = X_test.iloc[-1].name - pd.offsets.Hour(24)\n",
    "\n",
    "data_end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2005-03-04', '2005-03-05', '2005-03-06', '2005-03-07',\n",
       "               '2005-03-08', '2005-03-09', '2005-03-10', '2005-03-11',\n",
       "               '2005-03-12', '2005-03-13', '2005-03-14', '2005-03-15',\n",
       "               '2005-03-16', '2005-03-17', '2005-03-18', '2005-03-19',\n",
       "               '2005-03-20', '2005-03-21', '2005-03-22', '2005-03-23',\n",
       "               '2005-03-24', '2005-03-25', '2005-03-26', '2005-03-27',\n",
       "               '2005-03-28', '2005-03-29', '2005-03-30', '2005-03-31',\n",
       "               '2005-04-01', '2005-04-02', '2005-04-03'],\n",
       "              dtype='datetime64[ns]', freq='24H')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Each one of the forecasting start points.\n",
    "\n",
    "forecasting_points = pd.date_range(start=data_start, end=data_end, freq=\"24H\")\n",
    "\n",
    "print(len(forecasting_points))\n",
    "\n",
    "forecasting_points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  163.03247940752763\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  114.40237521172669\n"
     ]
    },
    {
     "data": {
      "image/png": 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d7nBsV25FqzFmXCXPPQ14A3i/WNkEYKExZqL1xT8BeEJEwoFJwFBjzG4RiQYQEX/gTWAQkAmsEZFZxpjNZb1waK0AVu44TEFhEQH+2uFLuc7JswX8ZfYm2sWEcUvfOLvDUW72p8EJZB45w4vfbiO2fm1GdG1id0i2caY3VKyIzLTuEg6KyJciUu6oFWPMUiDnguIRwHTr8XRgpPX4RuArY8xu69iDVnlPIN0Ys8MYkwfMsM5Rpjq1AjiRW8AmnYJYudgrC1I5cDyXv1/dUS9EagAR4YXRnenZIoLHPt/Aqh01t8bCmU/7VGAW0NjaZltlldHQGLPfenwAONcy2AaoLyJLRGSdiPzRKm8C7Cl2fKZV9jsicoeIrBWRtWdPHQNg2XZtt1Cus2nfMaYuz+DGns3o1qx++Qcon1ArwJ/JNyUSG1GbOz5YR3oN7TzjTLKIMsZMNcYUWNs0oMpTahpHi9G5VqMAIBG4AhgC/K+ItKng+SYbY5KMMUkNoxqQ0LAuy9Nr7lWAcq3CIsOfZ6ZQPySQx4foRIE1TXhIENPH9STQXxg3bTXZJ87aHVK1cyZZHBaRsSLib21jgcp+C2eJSAyA9fNcdVMm8K0x5pQx5hCwFOgC7AWKT7YTa5WVq098JGsycjhbUFjJUJX61Serd7N+z1GeuqI99UIC7Q5H2aBpRAjv3tyD7BNnuf39tZzJq1nfLc4ki1uBa3FUG+0HRgOVbfSeBdxsPb4Z+MZ6/A1wkYgEiEgI0AvYAqwBWotICxEJAq63zlGu5FYNOFtQxE+7jlYyVKUcsk+c5fl5W+kbH8mIro3tDkfZqGvTcF67vhsbMo/y4IyfKSyqOV1qy00WxphdxpjhxpgoY0y0MWbkuYbosojIJ8AKIEFEMkXkNmAiMEhE0oCB1u9Yg/7mARuA1cC7xpgUY0wBcB/wLY7k8ZkxZpMzb6xXywj8BJZru4Wqor/9dzNn84t4bmRHRHSiwJpucIdG/N+V7Zm/OYu//derxitXSaldZ0XkcWPMCyLyOr+2LZxnjHmgrBMbY24o5akBpez/IvBiCeVzgDllvVZJwoID6RwbzrL0Qzw6OKGihysFwLL0Q3y9fh8PDGhNfFSo3eEoDzEuuQW7c04zZdlOmkbUZlxyC7tDcruyxlmcS5lrqyMQd+gbH8m/l+7g5NkCQmvp3D2qYnLzC3nq6xTiIkO4p3+83eEoD/PUFe3Ze+QMz/5nM03CazO4QyO7Q3KrUquhjDGzrYenjTHTi284RnR7vORWDSgsMqzeqb2iVMX9+/sd7Dx0iudGdiQ40N/ucJSH8fcTXr2+G51jw3lgxs+s33PU7pDcypkG7iedLPM4ic3rExTgxzLtQqsqaOehU7y5JJ3hXRpzcesq9xRXPqp2kD/v3ZxEVN1a3D59DXtyvOI6ulJKTRYiMsxqr2giIq8V26YBXjFvb3CgP4nN6rNc54lSFfTMrE3UCvDjqSvb2R2K8nANQmsx9Zae5Bcabp66mqOn8+wOyS3KurPYh6O9IhdYV2ybhWPgnFdIbhXJlv3HOXyy5g2iUZWzLP0Q36dm8+CA1kTXDbY7HOUFWkWHMvmmRDJzznDnB+t8cnxXWW0Wv1jtE60uaLP4yhhzpBpjrJK+1lq6K2rwnC7KeUVFholzt9IkvDY39WludzjKi/RqGcmL13Rm1c4cHv9ig89Na+5Mm0WciHwhIptFZMe5ze2RuUjnJvUIrRWgVVHKKf/ZuJ+Ne4/x6OA21ArQRm1VMSO6NuGxIQl8s34f/5qfanc4LuVMf9KpwNPAy8ClOEZve810mwH+fvRqEaGLIaly5RUU8c9vt9EuJoyRNXgqalU19/SPZ0/Oad5YnE5s/dpc37OZ3SG5hDNf+rWNMQsBsUZzP4Njwj+v0bdVAzIOn2bv0TN2h6I82MerdrE75zRPDE3Az09HaqvKERGeG9mRfm2i+PPXKSzckmV3SC7hTLI4KyJ+QJqI3CciVwNeNZS1b3wkoEutqtKdyM3ntUXp9I2P5JI22lVWVU2gvx9v3tiN9jFh3P3hTyxNzbY7pCpzJlk8CIQAD+CYRnwsv04G6BUSGtYlsk6QtluoUr2zdAc5p/KYMKytzv+kXKJucCAf3NaT+OhQxr+/lhVe/v1TZrKwljW9zhhz0hiTaYwZZ4z5gzFmZTXF5xJ+fkKf+EiWpR/yuR4KquoOHs/lnR92cmXnGDrHhtsdjvIh4SFBfHhbT5pFhHDb9DWszbhw8VDvUWayMMYUAhdVUyxu1Te+AQdPnGV79im7Q1Ee5tWFaeQXFvHYEJ1wUrleZGgtPhrfi0ZhwdwydY3XTgviTDXUzyIyS0RuEpFR5za3R+Ziya2sdgudslwVsz37JDPW7GFMr2Y0j6xjdzjKR0XXDebj8b2JqBPEH99bRcreY3aHVGHOJItgHCvjXQZcZW1XujMod2gWEUKT8Nos00ZuVcyL87YRHODH/QNa2x2K8nGN6gXz8fhe1A0OZOx7q9h64LjdIVWIM8niXaut4vwGvOfuwFxNREhuFcmK7Ydr1OpWqnQ/7T7CvE0HuPOSeBqE1rI7HFUDxNYP4ePxvQgO8GfMO6tIP3jC7pCc5kyyeN3JMo/XN74Bx3ML2LzPuzK6cj1jDBPnbKVBaC1uu8j3F65RnqN5ZB0+Gt8LEeHGd1ax85B3tKOWNetsHxF5FIgSkUeKbc8AXjkPwrnxFsu03aLGW7T1IKszcnhoYGvq6MJYqprFR4Xy8fheFBQZbnxnpVdMbV7WnUUQjsF3AUDdYttxYLT7Q3O96LBgWkeHartFDVdYZHh+3lZaNqjDdT2a2h2OqqHaNKzLh7f14nReITe8s5J9Hj7DRFmzzn5vjPkL0NsY85di20vGmLRqjNGl+sZHsiYjh7yCIrtDUTb5cl0mqVkneWxIAoH+XjPNmfJB7RuH8cFtPTl2Op8b31lJ1vFcu0MqlTP/U2qJyGQRmS8ii85tbo/MTfq2akBufhE/7/aaWdaVC+XmF/LSglS6Ng1naEffXjNZeYfOseFMu7Un2SfOcuM7KznkoWvvOJMsPgd+Bp4CHiu2eaXeLSPxE1jm5UPvVeVMXZbBgeO5PKnTeigPkti8PlNu6cG+o7mMfXcVR0553mp7ziSLAmPMW8aY1caYdec2t0fmJvVqB9KxST1WaCN3jXP0dB6TlqQzoG00vVpG2h2OUr/Rq2Uk796cxM5Dpxj73iqOnc63O6TfcCZZzBaRe0QkRkQizm3lHSQiU0TkoIikFCuLEJEFIpJm/ax/wTE9RKRAREYXK7vZ2j9NRFwygWHf+Ab8vPsop856xVLiykXeXJzOqbMFPD60rd2hKFWi5FYN+PdNiaRlnWTMe57V6O1MsrgZR7XTcn5dh3utE8dNA4ZeUDYBWGiMaQ0stH4Hzk9a+Dwwv1hZBI6Fl3oBPYGnL0wwlZHcKpKCIsNqL57US1VM5pHTTF++iz90jyWhUV27w1GqVP0Tovn3TYlkHDrNVa//6DGz1ZabLIwxLUrYWjpx3FLgwm/jEcB06/F0YGSx5+4HvgQOFisbAiwwxuRY634v4PcJqMKSmkcQ5O/nMf8Iyv1eWpCKCDw8qI3doShVrkvbRvP1vcmEhzimBnn3hx22z5hdbrIQkRAReUpEJlu/txaRys4N1dAYs996fABoaJ2zCXA18NYF+zcB9hT7PdMqq5LaQf50axau4y1qiM37jjPz573ckhxH4/DadoejlFNaRYfy9b3JDGwXzV//u4WHPl3P6Tz7qs6dqYaaCuQBfa3f9wJ/reoLG0eaPJcqXwGeMMZUevCDiNwhImtFZG12dvmrUiW3asDm/cc9steBcq3n520lLDiQey5pZXcoSlVI3eBA3h6byGNDEpj1yz5GTVrOrsP2TA/iTLKIN8a8AOQDGGNOA5Xtc5glIjEA1s9zVU5JwAwRycAxOnySiIzEkZiKD7GNtcp+xxgz2RiTZIxJiooqf1nMvvGRGAMrd2hVlC9bnn6I71Ozue/SVtQLCbQ7HKUqTES499JWTBvXk/3Hcrnq9R9Zsu1g+Qe6mDPJIk9EamPdBYhIPFDZUSOz+HVJ1puBb+B8u0icMSYO+AK4xxjzNfAtMFhE6lsN24Otsirr0jScOkH+Ok+UDysqMkyct5Um4bW5qU9zu8NRqkouaRPF7Psuokn9EMZNW8Mbi9IoqsYZtJ1JFk8D84CmIvIRjl5Mj5d3kIh8AqwAEkQkU0RuAyYCg0QkDRho/V4qY0wO8BywxtqetcqqLNDfj54tIlierncWvmpuygE2ZB7j4UFtCA70yrkvlfqNZpEhfHV3X4Z3acw/56dy54frOJFbPeMxxJkWdhGJBHrjqH5aaYzx6MvxpKQks3Zt+b1731m6g7/N2cKKJy8jpp42fPqSwiLD4Je/x0+EeQ/1w99PR2sr32GMYeqyDP42ZwvNI0OYfFMiraKr3iVcRNYZY5JKes6Z3lBX4xjF/V9jzH+AAqs9wev1PbfUqt5d+Jyvf97L9uxTPDq4jSYK5XNEhFsvasFHt/fi+Jl8RryxjHkpB9z6mk5VQxljzi8Ya4w5iqNqyuu1axRGRJ0gbbfwMXkFRbyyMJWOTcIY0kEnC1S+q3fLSGbffxGtGtblrg/X8cK8rW5bCdSZZFHSPj6xWoyfn9CnZSTL0w/bPuBFuc7n6/awJ+cMjw5O0MkClc+LqVebz+7szfU9mjJpyXZumbqaA8dcP9W5M8lirYi8JCLx1vYSjik/fEKf+EgOHM/1mqUNVdly8wt5fWE6ic3r079N+V2olfIFtQL8mfiHzvxjVCdW7cjh4hcW8ehnv7DtgOvW+HYmWdyPY1Dep9Z2FrjXZRHYLLlVA0CnLPcVH63azYHjufxJ7ypUDXRDz2YsfPQSxvRqzpyN+xnyylJunrKa5emHqlx74lRvKG/jbG8ocPQqSJ64iC5Nw3lrbKKbI1PudOpsAf1eWEzbmLp8dHtvu8NRylZHTuXx0apdTFuewaGTeXRsEsb4i1tyeaeYUleIrGpvqDa+tFLehUSEPvENWLHjcLUOcFGuN215BodP5fHo4AS7Q1HKdvXrBHHfZa358YnLmDiqE6fzCnlwxnr6v7iE937cyckKLtHgTEP158DbwLtAYSVi9njJrSL58qdMNu8/Tscm9ewOR1XCsTP5/Pv77QxoG033ZlWexV4pnxEc6M/1PZtxbVJTFm09yOSlO3juP5t59btUxvRuzi1942gYFlzueZxJFgXGmAtng/UpfeMd7RbLtx/SZOGl3v1hB8dzC3hksE5BrlRJ/PyEge0bMrB9Q37efYR3ftjBv7/fzrs/7GBk1yaM71f2yhPOJIvZInIPMJNic0K5atoNT9CoXjAto+qwfPth7ugXb3c4qoIOnzzLlB93ckWnGDo01mSvVHm6NavPpDGJ7Dp8ivd+3Mlna/fw+brMMo9x50p5XiU5vgGrd+aQV1DpWdKVTd7+fjtn8gt5eFBru0NRyqs0j6zDsyM6smLCAB4pZ2Ewt62U522SW0VyOq+QXzKP2h2KqoCs47m8v2IXI7s1ccncOErVRPXrBPHAgLIvtpzpDRUoIg+IyBfWdp+I+NzCAL1bRiKi80R5mzcWpVNYZHhogLZVKOVOzlRDvQUkApOsLZHfL3/q9cJDgujQOIwf0spfZU95hj05p5mxZjfX9mhKs8gQu8NRyqc508DdwxjTpdjvi0TkF3cFZKeB7Rry6sI0Dh7PJdqJrmTKXq8tTENEuP8yXS5VKXdz5s6i0FodDwARaYmPjre4vFMMxsC3m9w71a+quu3ZJ/nyp0zG9mqua5EoVQ2cSRaPAYtFZImIfA8sAh51b1j2aB0dSnxUHeZs1GTh6V75Lo1aAf7cc6l2dVaqOpRbDWWMWSgirYFzcyhsM8ZUdg1ujyYiDOsYw6Ql6Rw+eZbI0Fp2h6RKsGX/cWb/so97+sfTQP+NlKoWzvSGuheobYzZYIzZAIRYg/R80rBOjSgyMH9zlt2hqFK8tCCVusEB3KkDKJWqNs5UQ423VscDwBhzBBjvtohs1j4mjOaRIcx18xKFqnLW7znKgs1Z3HFxS+qF+FwPbqU8ljPJwl+KLQwgIv5AkPtCspeIMLRjI5anH+Lo6Ty7w1EX+Nf8bUTUCWLcRS3sDkWpGsWZZDEP+FREBojIAOATq8xnXd4xhoIiwwKtivIoq3Yc5oe0Q9x9STyhtXxiZV+lvIYzyeIJHD2g7ra2hcDj7gzKbp1j69EkvDbztCrKYxhj+Of8bUTXrcVNfZrbHY5SNY4zvaGKcKxn8bb7w/EM56qiPlixi+O5+YQFa9243ZamHWJNxhGeG9GB4EB/u8NRqsZx5s6iUkRkiogcFJGUYmURIrJARNKsn/Wt8jEiskFENorIchHpUuyYoSKyTUTSRWSCu+K90OWdGpFXWMSiLQer6yVVKYwx/Gv+NpqE1+a6Hs3sDkepGsltyQKYBgy9oGwCsNAY0xpHdda5L/+dwCXGmE7Ac8BkON+Y/iYwDGgP3CAi7d0Y83ndmtanYVgt5qbsr46XU2WYvzmLDZnHeHBga4IC3PmRVUqVxqn/eSISKiKhFTmxMWYpcOECSSOA6dbj6cBIa9/lVpdcgJVArPW4J5BujNlhjMkDZljncDs/P2Foh0Ys2ZbNqQquVatcp7DIcVfRskEdRnVrYnc4StVYZSYLEblHRHYDu4DdIrKrigPyGhpjzl2qHwAalrDPbcBc63ETYE+x5zKtspJivUNE1orI2uxs18wcO6xTDGcLiliyTWeitcuXP2WSmnWSRwa3IcBf7yqUskup//tE5CngSqC/MSbSGBMBXAoMs56rEmOMAcwFr3kpjmTxRCXON9kYk2SMSYqKiqpqeAD0iIugQWgQc7Qqyha5+YW8vCCVLrH1uKJTjN3hKFWjlXWpdhMwyhiz41yB9fha4I+VfL0sEYkBsH6ebz0Wkc7Au8AIY8y5FYj2Ak2LHR9rlVULfz9hcIdGLN56kNx8n5xo16NNXZbB/mO5TBjWjmLjQpVSNigrWRhjTG4JhWeAyi5UPQvHmt5YP78BEJFmwFfATcaY1GL7rwFai0gLEQkCrrfOUW0u7xjD6bxCvk/VqqjqdORUHpOWpHNpQhR94iPtDkepGq+sZLHXGrH9GyJyGVBuvYyIfAKsABJEJFNEbgMmAoNEJA0YaP0O8H9AJDBJRNaLyFoAY0wBcB/wLbAF+MwYs8npd+cCvVpGEB4SyNyNWhVVnd5cnM7JswU8Mayt3aEopSh7UN4DwDci8iOwzipLApJxokeSMeaGUp76XQIyxtwO3F7KeeYAc8p7PXcJ9PdjcPuGzN14gLMFhdQK0AFh7rYn5zTvr9jFH7rH0rZRmN3hKKUo487CuoLvCCwF4qxtKdCxuq/u7TasUwwnzhawLP2Q3aHUCC8tSEUEHhnUxu5QlFKWUu8sRKQVjq6uUy4oTxaRA8aY7W6PzkMkxzegbnAAczYe4LK2JfX2Va6yad8xvl6/lzv6taRxuC6XqpSnKKvN4hXgeAnlx63naoygAD8GtWvIgs1Z5BdWtm1fOWPi3K2EBQdyzyWt7A5FKVVMWcmioTFm44WFVlmc2yLyUEM7NuLYmXxWbD9c/s6qUn5MO8QPaYe479JWurCRUh6mrGQRXsZzNa5+oF+bKOoE+esKem5SVGT4x9wtNAmvrVOQK+WBykoWa0Xkd8unisjt/No7qsYIDvTnsnYNmb/pAAVaFeVyszfsY9O+4zw6uI1OQa6UByqr6+xDwEwRGcNvu84GAVe7OS6PNKxjI2b/so/VGTn0jW9gdzg+42xBIS9+u412MWGM7KqTBSrliUpNFsaYLKCvNV9TR6v4v8aYRdUSmQfqnxBFcKAf81IOaLJwoQ9X7ibzyBmm39oJPz+d1kMpT1TuNJ7GmMXGmNetrcYmCoCQoAAuTYhmbsoBiopM+Qeoch3PzeeNRWkkt4qkX2tNwEp5Kp3zuYKGdmxE9omzrNt9pPydVbneXrKdI6fzmTBUJwtUypNpsqigy9pGExTgx9yN2iuqqg4cy2XKsp0M79KYTrH17A5HKVUGTRYVVDc4kH6to5iXsh/Hkhyqsl5ekEphkeGxIQl2h6KUKocmi0oY1rER+47l8kvmMbtD8VppWSf4fN0exvZuTtOIELvDUUqVQ5NFJQxs15BAf9Fpy6vg+XnbqBMUwP2XtbY7FKWUEzRZVEK9kED6xjdgjlZFVcqajBy+25LFXf3jiagTZHc4SiknaLKopMs7NWJPzhk27StprkVVGmMMf5+zhYZhtbg1uYXd4SilnKTJopIGtW+Ev58wN0Wroiri200H+Hn3UR4e2IbaQTqth1LeQpNFJUXUCaJ3ywjmbjygVVFOyi8s4oV522gVHcroxFi7w1FKVYAmiyoY1jGGHYdOkZp10u5QvMKna/aw49ApnhjalgB//egp5U30f2wVDOnQCBGYo72iynXqbAGvfJdGj7j6DGwXbXc4SqkK0mRRBVF1a9EjLoJ5usZFud5YnM6hk2eZMEyn9VDKG2myqKLLOzZiW9YJtmdrVVRpUvYeY/LSHVyTGEti8/p2h6OUqgRNFlU0tGMMgN5dlKKgsIgJX22gfkgQT13R3u5wlFKV5LZkISJTROSgiKQUK4sQkQUikmb9rG+Vi4i8JiLpIrJBRLoXO+Zma/80EbnZXfFWVqN6wXRvFq7tFqV498edpOw9zrMjOui62kp5MXfeWUwDhl5QNgFYaIxpDSy0fgcYBrS2tjuAt8CRXICngV5AT+DpcwnGk1zeKYZN+46z6/Apu0PxKDsPneLlBakMbt+QYR0b2R2OUqoK3JYsjDFLgZwLikcA063H04GRxcrfNw4rgXARiQGGAAuMMTnGmCPAAn6fgGx3eacYAvyEfy/dYXcoHqOoyDDhyw0EBfjx3MiO2qitlJer7jaLhsaYc/U1B4CG1uMmwJ5i+2VaZaWVe5TG4bUZ06sZn67Zow3dlhlr9rBqZw5/vrwdDcOC7Q5HKVVFtjVwG8ewZ5cNfRaRO0RkrYiszc7OdtVpnXb/gNYEB/jxz2+3Vftre5oDx3L5x5wt9GkZyXU9mtodjlLKBao7WWRZ1UtYPw9a5XuB4t8qsVZZaeW/Y4yZbIxJMsYkRUVFuTzw8jQIrcUd/eKZm3KAn2rwkqvGGP73mxTyCov4x6hOWv2klI+o7mQxCzjXo+lm4Jti5X+0ekX1Bo5Z1VXfAoNFpL7VsD3YKvNIt1/cggahQUycu7XGzhc1Z+MBFmzO4pFBbYhrUMfucJRSLuLOrrOfACuABBHJFJHbgInAIBFJAwZavwPMAXYA6cA7wD0Axpgc4DlgjbU9a5V5pDq1AnhwQGtW78xh8baD5R/gY46ezuPpWSl0alKP2y7S6ceV8iXii1fASUlJZu3atba8dn5hEYNe+p5aAf7MefBi/P1qTjXMnz7/hZk/72XWfcl0aFzP7nCUUhUkIuuMMUklPacjuF0s0N+Px4a0ZVvWCWb+XGLzik/6IS2bL9Zlcme/lpoolPJBmizc4PJOjegSW4+X5m8jN7/Q7nDc7nReAU9+tZGWDerwwABdU1spXxRgdwC+SER4YlhbbnxnFe+vyOCOfvF2h+RW/5qfSuaRM3x6R2+CA3X1O+U++fn5ZGZmkpuba3coXi04OJjY2FgCA52fgkeThZv0jW/AJW2ieHPxdq5Lauaz8yKt33OUqct2MqZXM3q1jLQ7HOXjMjMzqVu3LnFxcdotu5KMMRw+fJjMzExatHC+I4pWQ7nRE0Pbcjw3n7e+3253KG6RV1DEE19sILpuMBOGtbU7HFUD5ObmEhkZqYmiCkSEyMjICt+dabJwo/aNw7i6axOmLtvJ/mNn7A7H5d7+fjvbsk7w15EdqRvsm3dOyvNooqi6yvwNNVm42cOD2mAMvLIgze5QXCr94AneWJTOlZ1jGNi+YfkHKKW8miYLN2saEcJNfZrz+bo9pGWdsDsclygqMjzx5UZCavnzzPAOdoejlNdasmQJV155JQCzZs1i4sSJpe579OhRJk2aVOHXeOaZZ/jnP/9Z6RjP0WRRDe69tBV1ggJ4fp5vTDL4wcpdrNt1hP+7sj0NQmvZHY5SHqewsOJd5ocPH86ECRNKfb6yycJVNFlUg4g6QdzVP57vtmSxJsNjZytxyt6jZ3hh3lb6tYni6m4eN1u8Um6XkZFB27ZtGTNmDO3atWP06NGcPn2auLg4nnjiCbp3787nn3/O/Pnz6dOnD927d+eaa67h5EnH8gXz5s2jbdu2dO/ena+++ur8eadNm8Z9990HQFZWFldffTVdunShS5cuLF++nAkTJrB9+3a6du3KY489BsCLL75Ijx496Ny5M08//fT5c/3tb3+jTZs2XHTRRWzb5pqLVO06W01uTW7B9OUZTJy7lS/u6uOVjXSFRYYnv9qIAf5+tS5opOz1l9mb2LzvuEvP2b5xGE9fVX7V6rZt23jvvfdITk7m1ltvPX/FHxkZyU8//cShQ4cYNWoU3333HXXq1OH555/npZde4vHHH2f8+PEsWrSIVq1acd1115V4/gceeIBLLrmEmTNnUlhYyMmTJ5k4cSIpKSmsX78egPnz55OWlsbq1asxxjB8+HCWLl1KnTp1mDFjBuvXr6egoIDu3buTmJhY5b+N3llUk9pB/jw8qA3rdh1h/uYsu8OpsKIiw+NfbGBpajZ/vqIdsfVD7A5JKds0bdqU5ORkAMaOHcuPP/4IcP7Lf+XKlWzevJnk5GS6du3K9OnT2bVrF1u3bqVFixa0bt0aEWHs2LElnn/RokXcfffdAPj7+1Ov3u+n0Jk/fz7z58+nW7dudO/ena1bt5KWlsYPP/zA1VdfTUhICGFhYQwfPtwl71nvLKrRNYmxvPPDDl6Yt5UBbaMJ8PeOXG2M4alvUvjyp0weHtiGMb2a2x2SUk7dAbjLhXfV536vU8cxLb8xhkGDBvHJJ5/8Zr9zdwWuYIzhySef5M477/xN+SuvvOKy1yjOO76tfESAvx+PD2nL9uxTfLEu0+5wnGKM4dn/bObjVbu5p388DwxoZXdIStlu9+7drFixAoCPP/6Yiy666DfP9+7dm2XLlpGeng7AqVOnSE1NpW3btmRkZLB9u2Og7oXJ5JwBAwbw1ltvAY7G8mPHjlG3bl1OnPi1R+WQIUOYMmXK+baQvXv3cvDgQfr168fXX3/NmTNnOHHiBLNnz3bJe9ZkUc2GdGhI92bhvPxdKmfyPHuSQWMML3y7janLMrg1uQWPDUnQdgqlgISEBN58803atWvHkSNHzlcZnRMVFcW0adO44YYb6Ny5M3369GHr1q0EBwczefJkrrjiCrp37050dHSJ53/11VdZvHgxnTp1IjExkc2bNxMZGUlycjIdO3bkscceY/Dgwdx444306dOHTp06MXr0aE6cOEH37t257rrr6NKlC8OGDaNHjx4uec+6noUNVu/M4dp/r+CxIQnce6nnXqm/+l0aL3+XyphezfjrSG3QVvbbsmUL7dq1szWGjIwMrrzySlJSUmyNo6pK+lvqehYepmeLCAa2i+btJds5cirP7nBK9Pb323n5u1RGJ8by3AhNFErVdJosbPL40LacyivgzcXpdofyO1OX7WTi3K1c1aUxz/+hM341aLU/pcoTFxfn9XcVlaHJwiZtGtZldGIs76/YReaR03aHc97Hq3bzl9mbGdKhIS9d26VGLQurlCqdJgsbPTSwDSLw3H82k1dQZHc4fLkukz9/vZFLE6J47YZuBHpJ116llPvpt4GNGofX5oEBrfl2Uxaj3lpG+kH7Jhqc/cs+HvviF/rGR/LW2ERqBeiKd0qpX2mysNm9l7bi7bGJ7D1yhite+5HpyzOo7h5q8zcd4KFP15PUPIJ3/pikS6MqpX5Hk4UHGNqxEd8+1I8+8ZE8PWsTN09dQ9bx6lljePG2g9z78U90alKP925JIiRIB/Ur5QpLlixh+fLlVTpHaGioi6KpOluShYg8KCIpIrJJRB6yyrqKyEoRWS8ia0Wkp1UuIvKaiKSLyAYR6W5HzO4WHRbM1Ft68NyIDqzeeZghryxl7sb9bn3N5emHuOuDdbSOrsv0cT11tTulXMgVycKTVHuyEJGOwHigJ9AFuFJEWgEvAH8xxnQF/s/6HWAY0Nra7gDequ6Yq4uIcFOfOP77wMU0iwjh7o9+4tHPfuFEbr7LX2tNRg63TV9L88gQPry9F/VCNFEo5YyRI0eSmJhIhw4dmDx5MuCYdrx79+506dKFAQMGkJGRwdtvv83LL79M165d+eGHH7jlllv44osvzp/n3F3DyZMnGTBgAN27d6dTp0588803tryv8thR59AOWGWMOQ0gIt8DowADhFn71AP2WY9HAO8bR0X+ShEJF5EYY4x7L7ttFB8Vypd39+W1hWm8uTidVTsP89K1XenZIqLK595/7AyLt2bz9zlbiKkXzEe39yaiTpALolaqms2dAAc2uvacjTrBsNJXqwOYMmUKERERnDlzhh49ejBixAjGjx/P0qVLadGiBTk5OURERHDXXXcRGhrKn/70JwDee++9Es8XHBzMzJkzCQsL49ChQ/Tu3Zvhw4d73EBYO5JFCvA3EYkEzgCXA2uBh4BvReSfOO54+lr7NwH2FDs+0yrz2WQBEOjvx6ODE+ifEMXDn/7CdZNXcPcl8Tw0sA1BAc7fEOYVFLF2Vw7fb8tmybZstllLu7ZpGMr0W3sSVVdXulOqIl577TVmzpwJwJ49e5g8eTL9+vWjRYsWAEREVOyizhjD//zP/7B06VL8/PzYu3cvWVlZNGrUyOWxV0W1JwtjzBYReR6YD5wC1gOFwN3Aw8aYL0XkWuA9YKCz5xWRO3BUU9GsWTNXh22bxOYRzHnwYp6bvZlJS7azNC2bV67rSqvouqUek3nkNEu2ZfN9ajbL0w9xKq+QQH8hqXkETw5ryyUJUSQ0rOtxVy5KVUg5dwDusGTJEr777jtWrFhBSEgI/fv3p2vXrmzdurXcYwMCAigqcoynKioqIi/PMdXPRx99RHZ2NuvWrSMwMJC4uDhyc6ung0tF2NL1xRjzHo5kgIj8Hcfdwj+AB61dPgfetR7vBZoWOzzWKrvwnJOByeCYSNAtgdsktFYAz4/uzGXtonnyq41c8dqPPDmsLTf3jUNEyM0vZE1GzvkEkX7QMWVxk/DajOjWhP5toujbqgGhtbSnk1JVcezYMerXr09ISAhbt25l5cqV5ObmsnTpUnbu3Pmbaqi6dety/PivK/nFxcWxbt06rr32WmbNmkV+fv75c0ZHRxMYGMjixYvZtWuXXW+vTLZ8e4hItDHmoIg0w9Fe0Ru4H7gEWAJcBqRZu88C7hORGUAv4Jgvt1eUZUiHRnRrFs7jX2zgmdmbmb85i+BAf1ZsP8yZ/EKC/P3o1TKC63s0pX9CFPFRoXr3oJQLDR06lLfffpt27dqRkJBA7969iYqKYvLkyYwaNYqioiKio6NZsGABV111FaNHj+abb77h9ddfZ/z48YwYMYIuXbowdOjQ8wsljRkzhquuuopOnTqRlJRE27ZtbX6XJbNlinIR+QGIBPKBR4wxC0XkIuBVHAksF7jHGLNOHN92bwBDgdPAOGNMmfOPe/oU5VVljOHDVbuZOGcLkaG16J8QRf+EKHq3jNRxEsqnecIU5b6iolOU21UNdXEJZT8Cv1tV3OoFdW91xOUtRISbejdnTM9miPx+iUellHI1vQz1Yjp1uFKquuh0H0opr+KLq3tWt8r8DTVZKKW8RnBwMIcPH9aEUQXGGA4fPkxwcHCFjtNqKKWU14iNjSUzM5Ps7Gy7Q/FqwcHBxMbGVugYTRZKKa8RGBh4fqS0ql5aDaWUUqpcmiyUUkqVS5OFUkqpctkygtvdROQEsM3uOCqgHnDM7iAqwJvi9aZYQeN1J2+KFeyJN8EYU+Ispb7awL2ttCHrnkhEJhtj7rA7Dmd5U7zeFCtovO7kTbGCPfGKSKnzJGk1lGeYbXcAFeRN8XpTrKDxupM3xQoeFq+vVkOt9aY7C6WU8gRlfXf66p3FZLsDUEopL1Tqd6dP3lkopZRyLV+9s7CViAwVkW0iki4iE6yy90TkFxHZICJfiEhoKcc+aR23TUSGlHVON8YqIvI3EUkVkS0i8kApx94sImnWdnOx8kQR2Wid8zVx4RzqpcR7mYj8JCIpIjJdRErsuFHd8YrIFBE5KCIpxcpeFJGt1udgpoiEO/s+rfIWIrLKKv9URIJcEWsZ8T4jIntFZL21Xe4J8ZYSa1cRWWnFuVZEepZyrB2f26YislhENovIJhF50Cq/xvq9SERKrTq34/PwO8YY3Vy4Af7AdqAlEAT8ArQHwort8xIwoYRj21v71wJaWOfxL+2cbox1HPA+4GftF13CsRHADutnfetxfeu51ThWPxRgLjDMzX/bPUAba59ngds8JN5+QHcgpVjZYCDAevw88Lyz79N67jPgeuvx28DdLvzslhTvM8CfKvPv4s54S4l1/rl/O+ByYIknfA6sc8cA3a3HdYFU67PbDkjAsUJokqf8fUvavOLOopSrSacyqlTzlTrQE0g3xuwwxuQBM4ARxpjj1usKUBsoqf5vBDDDGHPWGLMTSLfOV+I53RUrcDfwrDGmCMAYc7CEY4cAC4wxOcaYI8ACYKiIxOBIjCuN4xP8PjDSBbGWFu8fgDxjTKq1zwKrzPZ4jTFLgZwLyuYbYwqsX1fiWFP+QiX+u1ifncuAL6z9prsq1tLidVK1x1tKrAYIsx7XA/aVcKgdn1uMMfuNMT9Zj08AW4AmxpgtxpjyxoTZ8nm4kMcnCxHxB94EhuHIxDeISHscV2UvG2NaAUeA20o4tj1wPdABx7Ksk0TEv4xzukITHFe652RaZYjIVOAA0BZ43SobLiLPlnNsqed0U6zxwHXWrfxcEWltxZokIu86EWumG2It7TUbAQHFbuFHA009JN7y3IrjChYRaSwic6zy0mKNBI4WSzbVFet9VrXZFBGp78HxPgS8KCJ7gH8CT1qxetTnQETigG7AqjL28bi/r8cnC0q/+nUmo1b3lXqZjDHjgMY4riqus8pmGWP+z92vXUG1gFzj6EL3DjAFwBiz1hhzu62R/Z7BcUHwsoisBk4AheCx8QIgIn8GCoCPAIwx+4wxJbYH2OwtHBcPXYH9wL/AY+O9G3jYGNMUeBh4DzzrcyCOtsovgYfO1TaUxBP/vt6QLErLqiVmVJuv1AH2Yl3ZWmKtMgCMMYX8Wn3i7LFlntMNsWYCX1llM4HOFYw1toRyVyjxNY0xK4wxFxtjegJLcdQHe0K8JRKRW4ArgTFWlceFSov1MBAuvzbguz1WY0yWMabQqpJ8B8eFlqfGezO/fm4/p2Kxuv1zICKBOBLFR8aYr8rbvxiP+Pt6Q7KoEA+4Ul8DtLbaVIJwXPXOEpFWcL7NYjiwtYRjZwHXi0gtEWkBtMbR6FbiOd0VK/A1cKm1zyWU/OX7LTBYROpbVRODgW+NMfuB4yLS23qvfwS+cUGspcYrItEAIlILeAJHQ58nxPs7IjIUeBwYbow5XcpuJb5PK7EsxlHVBo4vR7fFasUbU+zXq4GUEnbzlHj34fi8gqPmIa2EfWz5HFjnfA/YYox5qYKHe8bf110t567agD44/jHP/f6ktR3i114lv9nnwn2L/f6ttW+J53RhzJfj+ILdDvwZR1JeBmzE8Z/tI6zeUTgSx7PFjv2zddw2ivXGuPCc7orVKgsH/mvFuwLoYpUnAe8WO/ZWHFV76cC4YuVJ1vvcDryBNZ7HjfG+iKNqbxuO23s8IV7gExxVN/k47tZus157D7De2t629m0MzCnv3xtHj5jV1nk+B2q58G9bUrwfWJ+DDTguJGI8Id5SYr0IWIejt9AqINETPgfWuS/CUWW6odi//eU4EnAmcBbIwvpesvvvW9Lm8YPyrFusVGAAjlusNcCNOLr0fWmMmSEibwMbjDGTLji2A/AxjtvRxsBCHFfrUtI5jTGbquM9KaWUt/H4aijjaJe4D8ddwRbgM+tL/QngERFJx9Er4D34bZuFtd9nwGZgHnCvcdS/lnZOpZRSJfD4OwullFL28/g7C6WUUvbTZKGUUqpcHpssSpniQ8S5Ce6WiMhuq7vaubKvReRkdcWvlFK+xCOXVS02HccgHN3K1ojILKAXjsEpbY0xRef615fiKJAM/CiOmT1jyti3pBgER5tOUcXfgVJK+RZPvbOoygR358zAMXgFYBS/juxEREJFZKE4prXeKCIjrPI4627mfRz9rZv+7qxKKVUDeWqyqNAEd6VYCPSz7lKuBz4t9lwucLUxpjuOkcr/KlZl1RqYZIzpYIzZ5aL3o5RSXs0jq6HKcH6COxEZhWOCu4tL2bcQ+BFHoqhtjMko3oQB/F1E+gFFOBJRQ+u5XcaYle56A0op5Y089c6iQhPcici34lgd611+awbwGo6BecWNAaJwTAfQFccw+2DruVMueg9KKeUzPPXO4vzEWTiSxPU4pvioh6PaaCfFJrgzxgwp5Tw/AP/AMY9McfWAg8aYfBG5FGju8neglFI+xCOThTGmQETOTcfhD0wxxmwSkYnARyLyMHASKHOOeuMYnv7PEp76CJgtIhuBtZQ8A6xSSimLTvehlFKqXJ7aZqGUUsqDaLJQSilVLk0WSimlyqXJQimlVLk0WSillCqXJgullFLl0mShlFKqXJoslFJKlev/ASo96MvSuGu/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  68.2790599866606\n"
     ]
    },
    {
     "data": {
      "image/png": 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TAkEYPW8jYAXDWyrVuzU2Npa0tDT8ccrV8iQsLIzYWLse4Ez9feYaVmw/zFs3dqJpHRsR2FdEhD/3aY4IvPHdRlTh/4ZYwSitSlUsgoODfx1Ww5iy9FHidib/tI27LmpM/3Yxbsep8ESEP/VujgCjvtuIorwwpL0VjFKoVMXCGDck7zjCXz9LpnvjKB7t08LtOJWGiPBw7+Ygwqi5KajCi3+wgnG2rFgY40OHT5zi7g+SiKwawhs3dCQo0AZNKEt5exj/nptCeEigDT54lqxYGOMj2TnKg1NXsPdoJh/e1Y3a1ULdjlRpPdy7OSdOZfHugi3E1KzC3Rc1cTtSuWPFwhgf+ffcFH7YsI/nB7elY6Nabsep9J7o34rdRzN54et11KsRxqCODdyOVK5YsTDGB+au3cOouSlc3TmWG85r5HYcAwQECC9f05596Rk8+vEv1K4WygXNarsdq9ywHajGeFnq/uM89OEK2tSvwXOD2tr+cT8SGhTIOzcn0CS6Gnd/kMTqnUfcjlRuWLEwxosys7K5+4MkAkR4+6bOhAUHuh3J5BNRJZiJw8+jRlgQt05YxvaDJ9yOVC74rFiIyHgR2SsiyXnarhGR1SKSIyIJedp7i0iSiKxyvl6a57HOTvtGERkl9jHN+LGxP2xm3e50XrmmAw0jw92OYwpRLyKMibedR+bpbIZNWMqh46fcjuT3fNmzmAj0y9eWDAwB5udr3w9cqartgGHAf/I89hYwAmjm3PJv0xi/kLr/OG/M28gV7WO4rHVdt+OYYjSvW51xw7qQdugkd0xKJON0ttuR/JrPioWqzgcO5mtbq6rrC1j2Z1Xd6Xy7GqgiIqEiEgPUUNUl6hm9bhIwyFeZjTlbqsrfPk8mJDCAp2zGu3LjvPhIXh96Lsu3HeKBKT+TbbPtFcofj1n8AViuqplAAyAtz2NpTpsxfuXLVbtYkLKfR/o0p24NG2SxPLm8XQxPDWjN7DV7eGaGzeddGL86dVZE2gAvAn3Ocv07gTsBGjWy0xVN2TiacZpnZ66hXYMIbu4e53YccxaG94hn95EM3pm/mZiaYdx7cVO3I/kdv+lZiEgsMB24RVU3Oc07gLzDm8Y6bQVS1bGqmqCqCdHR0b4La0wer8xaz4FjmTw/uC2BNu5QufV4v5ZcdW59/vXNej5JSit+hUrGL4qFiNQEvgRGqurC3HZV3QUcFZFuzllQtwCfu5PSmN9bmXaYSUu2ckv3ONrH1nQ7jimFgADhpas70KNpFI9/spL5G2wqg7x8eersFGAx0EJE0kTkdhEZLCJpQHfgSxGZ5Sx+H9AUeEpEVji3Os5j9wLjgI3AJuBrX2U25kxk5yhPTl9FdLVQ/tSnudtxjBeEBAXw9k2daVa3Ovd8kETyDrtoL5dU1IM5CQkJmpiY6HYMU4FNXLiFZ2auYfQNHRnQvr7bcYwX7TmawZAxi8jMymH6vedXmmtmRCRJVRMKeswvdkMZU97sOZrBy7M30LN5NFfYZEYVTt0aYbx/WxdOZ+cwbPxSDtpFe1YsjDkbf5+5hlPZOfzjKpsboaJqWqc644YlkHb4JLe/v4yTpyr3RXtWLIw5Q/PW7+XLVbu4/5KmnBNV1e04xoe6xEUy6rpzWbH9MA9MrdwX7VmxMOYMZJzO5qnPk2kSXZU7L2rsdhxTBvq1jeHpAa2Zs2YPT89IrrQX7fnVRXnG+LvR321k+8GTTBnRjdAgG1G2sri1Rzy7nIv26tesUikv2rNiYUwJbdybzjvzNzGkUwO6N4lyO44pY4/3a8muIxn865v11KsRxpBOscWvVIFYsTCmBFSVv0xPJjwkiCcvb+V2HOOCgADhpWvasy89k8c+Xkmd6mGVaqY9O2ZhTAl8unwHP205yMj+LaldLdTtOMYloUGBvHNLZ5rWqXwz7VmxMKYYh46f4vmv1tL5nFoMTWjodhzjshphwUwY3oXqYUEMn7CMtEOVY6Y9KxbGFOPFb9Zx5ORpnh/clgAbKNAAMRFVmDj8PE6ezubWCcs4fKLiX7RnxcKYIiSmHmTqsu3ccUE8LevVcDuO8SMt6lVn7M0JbDtwgjsnJVX4mfaKLRYiMkREUkTkiIgcFZF0ETlaFuGMcdPp7Bz+Mj2ZBjWr8OBlzdyOY/xQ9yZRvHxtB5amHuTP034hpwJftFeSs6H+hWd+7LW+DmOMPxn/4xbW70nn3VsSCA+xEwdNwQZ2qM+eIxk8/9Va6tYI46krK+a0uiX5C9hjhcJUNmmHTvD6tyn0aV2X3q3ruh3H+Lk7Loxn55GTjF+4hfo1w7jjwop3dX9JikWiiHwIfAZk5jaq6qe+CmWM2/75lefz0dMD27icxJQHIsJfr2jN7iMZPPelp4dxZYeKNWx9SYpFDeAEv50XWwErFqZC+nnbIb5atZuHL2tOg5pV3I5jyonAAOG1oeey/9hP/HnaL9SuFlqhrvQvtlio6vCyCGKMP1BVXvh6HbWrhXDHhfFuxzHlTFhwIO/eksDVby/mzv8k8vHd59OiXnW3Y3lFSc6GihWR6SKy17l9IiKVa1AUU2l8v2EfP205yAO9mlE11A5qmzNXMzyEicO7UCU4kFsnLGXXkZNuR/KKklxnMQGYAdR3bjOdNmMqlOwc5cWv13FOVDjXdWnkdhxTjsXWCmfC8C6kZ2Rxw7s/sedohtuRSq0kxSJaVSeoapZzmwhE+ziXMWXu8xU7WLc7nUf6tCAkyK5XNaXTpn4EE4d3Ye/RDK5/dwl7y3nBKMlfxAERuUlEAp3bTcABXwczpixlZmXzyuwNtG1Qw+bUNl6TEBfJxNvOY/cRp2Ckl9+CUZJicRtwLbAb2AVcDdhBb1OhfLBkGzsOn2Rkv1Y2/pPxqi5xkUy4tQs7D2dw47s/sS89s/iV/FCxxUJVt6rqQFWNVtU6qjpIVbeVRThjysLRjNOM/i6FC5vVrlTzE5iy07VxFONv7cL2Qye4cdwS9h8rfwWj0GIhIo85X98QkVH5b8VtWETGO2dPJedpu0ZEVotIjogk5Fv+CRHZKCLrRaRvnvZ+TttGERl5di/TmMKN/WEzh06c5vF+Ld2OYiqw7k2iGD+sC9sOnuCmcT9xoJwVjKJ6FrlDfCQCSQXcijMR6JevLRkYAszP2ygirYHrgDbOOmNyj5EAbwL9gdbA9c6yxnjF3qMZjPtxM1d2qE/bBhFuxzEV3PlNa/PesC5s2X+cG8f9xMHj5Wdo80KLharOdO6eUNX3897wXNFdJFWdDxzM17ZWVdcXsPhVwFRVzVTVLcBG4DzntlFVN6vqKWCqs6wxXvHvuSlkZSuP9GnudhRTSfRoWptxwxLYvP84N437iUPlpGCU5KqjJ4CPStBWGg2AJXm+T3PaALbna+9aoi3uT4EJV3glnKmYTp7O5sq0w9wRGcY5M950O46pRC4EltY/xfo96Wx/LZDqMTUICvDv07ULLRYi0h+4HGiQ7xhFDSDL18HOhojcCdwJ0L6+jeljirb90AkCRIi18Z+MC2pWCaF53eps2J3O2l3ptIqp7tcFo6iexU48xysG8ttjFOnAw17OsQPIO7lxrNNGEe2/o6pjgbEACQkJyvAvvRzTVBQ/bzvE4DGLeLBXM87rbbugjDtqASfW7eXm/yTR8mR1/nN7VyKqBLsX6LbCTxsv6pjFL87xiab5jll8qqqHvBxxBnCdiISKSDzQDFgKLAOaiUi8iITgOQg+w8vPbSoZVeXFb9YRVTWEET0r3rwDpny5pGUd3rqpE2t3HeWW8Us5mnHa7UgFKkmfJ05EPhaRNSKyOfdW3EoiMgVYDLQQkTQRuV1EBotIGtAd+FJEZgGo6mpgGrAG+Ab4o6pmq2oWcB8wC8/ZWdOcZY05az9s2MeSzZ7BAqvZYIHGD/RqVZcxN3Zmzc4jDBu/lHQ/LBiiWvScsSLyI/A08BpwJZ6rtwNU9Snfxzt7CQkJmpiY6HYM42dycpTLRy3gxKlsvv3TRTYGlPErs1bv5o+Tl9M+NoJJt3ct8w8zIpKkqgkFPVaSv5QqqjoXT2HZqqrPAHaakSmXPv/FM1jgn/s0t0Jh/E7fNvUYfUNHfkk7wi3v+dfQICX5a8kUkQAgRUTuE5HBQDUf5zLG6zKzsnl51gba1K/Ble0r1pSXpuLo1zaGN2/oyOqdRxnwxgKSth4sfqUyUJJi8SAQDjwAdAZuAob5MpQxvvDrYIH9W9pggcav9Wsbw6f3nk9oUCBD31nCxIVbKO6Qga8VWSyc4TaGquoxVU1T1eGq+gdVXVLUesb4m9zBAi9oWpsLm9l0LMb/takfwcz7LuCi5tE8M3MND05dwfFM9y5xK7JYqGo2cEEZZTHGZ96db4MFmvInIjyYd29J4NG+Lfhi5U4Gj1nIpn3HXMlSkt1QP4vIDBG5WUSG5N58nswYL9l7NINxC7YwoH0M7WJtsEBTvgQECH+8pCmTbuvK/mOnuGr0Qr5etavsc5RgmTA8M+NdiufU2SuBAb4MZYw3/XtuCqezc3ikTwu3oxhz1i5oVpsv7r+AJnWqcc/k5Tz/5RqysnPK7PlLchLvOFVdmLdBRHr4KI8xXrV53zGmLtvOjV0bEVe7qttxjCmV+jWrMO2ubjz3xVreXbCFX9KOMPqGjtSpHubz5y5Jz+KNErYZ43demb2B0KAA7r+0mdtRjPGK0KBA/jGoLa9e24GVaYcZMOpHlqX6/vTaokad7Q6cD0SLyJ/yPFQDCPR1MGNKa2XaYb5ctYsHejUjunqo23GM8aohnWJpFVODez5I4rqxS3iif0tuvyAeEd+cFl5UzyIEz8V3QUD1PLejwNU+SWOMF702ZwMRVYIZcWG821GM8YlWMTWYcf8F9GpZh+e+XMt9U37mmI9Ory20Z6GqPwA/iMhEVd3qk2c3xkeWbzvEvPX7eLRvC6qHuTjkszE+ViMsmHdu7sw78zfzr2/WsW7XUV6+pgMdG9Xy6vOU5AB3qIiMBeLyLq+ql3o1iTFe9NqcDURWDeHW8+PcjmKMz4kId1/UhPaxETww5WcGj1lEl7ha3H5BY3q3rkugF0YsKEmx+Ah4GxgHZJf6GY3xsWWpB1mQsp8nL29JVRuC3FQi5zepzfePXsK0ZdsZv3ALd3+QRKPIcG7rEcc1CQ1L9fdQkiHKk1S181k/g0tsiPLK6/qxS0jZe4wFj11ClRA7F8NUTlnZOcxZs4dxP24haeshqocFccN5jRh2fhz1C5lKuKghyktSZmaKyL3AdODX8XJV1T+GQjQmj0Wb9rN48wH+NqC1FQpTqQUFBtC/XQz928WwfNsh3vtxC+8u2My4H7dwRbsY7rgwnvaxNUu8vZL0LLYU0Kyq6tfzUVrPovJRVYa+s4StB4/zw6OXEBZsxcKYvLYfPMH7i1L5cNl20jOzOC8uktsvjOeyVp7jGqXqWaiqnXdoyoWFGw+wNPUgf7+qjRUKYwrQMDKcvw5ozYOXNWNaYhrjf9zCXf9J4pyocG7rUfS/+mKv4BaRcBH5q3NGFCLSTERsbCjjV1SVV+esJyYijKFdGrodxxi/Vj0smNsviOeHRy9mzI2diKoawtMzVhe5TkmG+5gAnMJzNTfADuC50kU1xru+37CP5dsOc9+lTQkNsl6FMSURFBjA5e1i+PTeHnxyz/lFLluSYtFEVf8FnAZQ1ROATTNm/Iaq8tqcDTSoWYVrOluvwpiz0fmcoi/iK0mxOCUiVQAFEJEm5Dkryhi3zV27l5VpR3igV1NCgkryljbGnKmSnDr7NPAN0FBEJgM9gFt9GcqYkvIcq9jAOVHhDOkU63YcYyqsYj+GqeocYAieAjEFSFDV70uycREZLyJ7RSQ5T1ukiMwRkRTnay2nPUJEZorILyKyWkSG51lnmLN8iogMO7OXaCqyWav3sGbXUR64tBnBgdarMMZXSnI21GAgS1W/VNUvgCwRGVTC7U8E+uVrGwnMVdVmwFzne4A/AmtUtQNwMfCKiISISCSe3k1X4Dzg6dwCYyq3nBzPsYrGtaty1bn13Y5jTIVWko9iT6vqkdxvVPUwnn/exVLV+UD+K72vAt537r8PDMpdHKgunsHYqznrZQF9gTmqelBVDwFz+H0BMpXQV8m7WL8nnQcva0aQ9SqM8amSHLMo6K+wNKOz1VXV3NnGdwN1nfujgRnATjzzZgxV1RwRaQBsz7N+GtCgFM9vKoDsHOX1b1NoVqcaA9pbr8IYXyvJx7FEEXlVRJo4t1eBJG88uXrGGskdb6QvsAKoD5wLjBaRGmeyPRG5U0QSRSRx37593oho/NQXK3eyce8xHrqsuVeGXzbGFK0kxeJ+PBflfejcMvEcXzhbe0QkBsD5utdpHw58qh4bgS1ASzwXAeY9eT7WafsdVR2rqgmqmhAdHV2KiMafZWXn8O9vU2hZrzr929ZzO44xlUJJzoY6rqojc/8Jq+oTqnq8FM85A8g9o2kY8LlzfxvQC0BE6gItgM3ALKCPiNRyDmz3cdpMJfXZip1s3n+chy5rToD1KowpE8UeexCR5sAjnMVMeSIyBc+ZTbVFJA3PgfEXgGkicjuwFbjWWfwfwEQRWYXnCvHHVXW/s51/AMuc5f5uw6NXXqezcxg1N4U29WvQt03d4lcwxniFT2fKU9XrC3moVwHL7sTTayhoO+OB8Wfy3KZi+nR5GtsOnuC9YQl4TpwzxpSFkhSLLFV9y+dJjCnGqawcRs3dSIfYCC5tWcftOMZUKiU5wD1TRO4VkRjn6utI50I5Y8rUR0nb2XH4JA/3bm69CmPKWEl6FrkHox/N06aAX8+UZyqWjNPZjP5uI50a1eSi5nammzFlrcLOlJedU/R0saZ8+XDZdnYdyeDlazpYr8IYF5TkbKhg4B6gp9P0PfCOqp72Ya5SO3TilNsRjJdknM7mzXkbOS8+kvObRLkdx5hKqSTHLN4COgNjnFtnp82vHTp+Gs8F4qa8m/zTNvamZ/InO1ZhjGtKcsyiizMSbK7vROQXXwXyloysbJJ3HKVdbITbUUwpHM/MYsy8jZzfJIpuja1XYYxbStKzyHZmxwNARBpzhtdbuEGADxO3uR3DlNLERakcOH6KR/q2cDuKMZVaSYrFo8A8EfleRH4AvgP+7NtYpRcRHsznK3aScdrv65opxJETp3nnh01c1qoOnRrZFCbGuKkkZ0PNFZFmeMZqAlivqn4/B3et8BDSM7L4Jnk3gzraiObl0dgFmziakcWfeluvwhi3lWSmvD8CVVR1paquBMJF5F7fRyudaqFBNIoMZ1ri9uIXNn5nX3omExamcmWH+rSuf0Yj1RtjfKAku6FGOLPjAeDMVjfCZ4m86JrOsSzadIBtB064HcWcoTHfbyQzK4eHL2vmdhRjDCUrFoGS53xFEQkEQnwXyXuuTohFxDNMhCk/dhw+yeQl27i6UyyNo6u5HccYQ8mKxTfAhyLSS0R6AVOcNr8XE1GFns2i+Tgpza7oLkfemJsCwAPWqzDGb5SkWDyO5wyoe5zbXOAxX4bypqFdGrLrSAYLUmya1fJgy/7jfJSUxg1dG9GgZhW34xhjHCU5GyoHz3wWb/s+jvdd1qoukVVD+CgxjYtb2LDW/u61ORsICQzgj5c0dTuKMSaPkvQsyrWQoAAGnduA2Wt2c/C4jRflz9btPsrMlTsZ3iOO6OqhbscxxuRR4YsFeHZFnc5WPvt5h9tRTBFemb2BaqFB3NWzSfELG2PKVImKhYhUE5Fye1pKi3rV6RAbwbTE7Ta4oJ/6edsh5qzZw109GxMRHux2HGNMPkUWC2eGvG3AVmCbiGwtDxfkFeTaLg1ZtzudVTuOuB3FFOCV2RuIqhrC8B7lcvoUYyq8QouFiPwVGABcrKpRqhoJXAL0dx4rV67sUJ+w4AA+XGbXXPibRZv28+PG/dx7SVOqhpZkIGRjTFkrqmdxMzBEVTfnNjj3rwVu8XUwb6sRFszlbWOYsWInJ0/Z4IL+QlV5edZ6YiLCuLFrI7fjGGMKUVSxUFXNKKDxJJDju0i+c01CQ9Izs/hm9S63oxjHd+v2snzbYR7o1Yyw4EC34xhjClFUsdjhXLH9GyJyKVDsf1sRGS8ie0UkOU9bpIjMEZEU52utPI9dLCIrRGS1MxR6bns/EVkvIhtFZGTJX9rvdWscyTlR4bYryk/k5Cgvz97AOVHhXN051u04xpgiFFUsHgDeEZGJInK/c3sfGAvcV4JtTwT65WsbCcxV1WZ4rgQfCSAiNfFM2TpQVdsA1zjtgcCbQH+gNXC9iLQu4Wv7HRHhms6xLNl8kK0Hjp/tZoyXfLlqF2t3HeVPvZsTHFgpzuI2ptwq9C9UVVcDbYH5QJxzmw+0dR4rkqrOBw7ma74KeN+5/z4wyLl/A/Cpqm5z1t3rtJ8HbFTVzap6CpjqbOOs/aFzLAECHyWmlWYzppSysnN4bc4GWtStzpXt67sdxxhTjKLOhmoKdFbV8ar6Z+f2HtA57zSrZ6iuqubuwtoN1HXuNwdqObPxJYlI7gH0BkDefUZpTttZi4moQs/mNrig2z79eQeb9x/nz32aExAgxa9gjHFVUX3/14GjBbQfdR4rFfVcHZf73zoI6AxcAfQF/iYizc90myJyp4gkikjivn2FDxw4NKEhu49mMN8GF3RFZlY2//42hQ4Na9K7dd3iVzDGuK6oYlFXVVflb3Ta4s7y+faISAyA8zV3d1MaMEtVj6vqfjy7uzoAO4CGedaPddoKpKpjVTVBVROio6MLDdHr18EF7UC3G6Yu3c6Owyd5tE8L8kyVYozxY0UVi5pFPHa2Y0fPAIY594cBnzv3PwcuEJEgEQkHugJrgWVAMxGJF5EQ4DpnG6USEhTA4I4NmLNmDweO+f104hXKiVNZvPHdRro1jqRH0yi34xhjSqioYpEoIr+bPlVE7gCSituwiEwBFgMtRCRNRG4HXgB6i0gKcJnzPaq6Fs+ESiuBpcA4VU1W1Sw8Z17NwlM8ppXk4HpJXJvgGVxwug0uWKbeX7SV/ccyebSv9SqMKU+ksIH1RKQuMB04xf+KQwKeKVUHq+ruMkl4lhISEjQxMbHIZa56cyEnT2Ux66Ge9o+rDBw5eZqe/5pH53NqMf7WLm7HMcbkIyJJqppQ0GNFnTq7R1XPB54FUp3bs6ra3d8LRUkNTWjIhj3H+CXNBhcsC+8t2MyRk6f5c58zPnfBGOOyYq+EUtV5qvqGc/uuLEKVlQEdYggLDmCaHej2uQPHMnnvxy1c0T6GNvUj3I5jjDlDlfqy2RphwVzeLoaZNrigz708ez2ZWTn8qbf1Kowpjyp1sQDPge70zCy+TrbBBX1lZdphpi7bzq3nx9EkutzOoWVMpVbpi0XX+EjibHBBn8nJUZ6esZqoqqE8eFkzt+MYY85SpS8WIsI1CQ35actBUvfb4ILe9unPO/h522FG9m9J9TCbLtWY8qrSFwuAP3RyBhdMst6FNx3NOM0LX6+jY6OaDOlYqiG9jDEus2IB1IsI4yIbXNDrRn2bwoHjmfx9YFsbLNCYcs6KhWNol4bsOZrJ/A02uKA3pOxJZ+KiVK7r0pB2sXaqrDHlnRULx6Ut6xJVNcQOdHuBqvLMzNVUDQ3i0b4t3Y5jjPECKxaOkKAArk6IZfaa3Wzad8ztOOXaN8m7WbjxAH/u05zIqiFuxzHGeIEVizxGXNiY0KBARs1NcTtKuXXyVDbPfbmWlvWqc8N5jdyOY4zxEisWedSuFsqw8+OY8ctOUvakux2nXHrrh03sOHySZwe2Icjm1TamwrC/5nzu7NmY8OBAXrfexRnbfvAEb/+wiYEd6tO1sc1VYUxFYsUin8iqIQzvEc+XK3exbndBs8qawvzjizUEBQhPXt7K7SjGGC+zYlGAOy6Mp3poEK/Psd5FSc3fsI/Za/Zw36VNqRcR5nYcY4yXWbEoQM3wEG67IJ5vVu8meYfNdVGcU1k5PDNzNfG1q3L7BfFuxzHG+IAVi0LcdkE8NcKCeP1b610UZ8LCLWzed5ynBrQmNCjQ7TjGGB+wYlGIiCrBjLiwMd+u3cPKtMNux/Fbe45mMGpuCr1a1uGSlnXcjmOM8RErFkW4tUccNcODeW3OBrej+K0Xvl7H6WzlqStbux3FGONDViyKUD0smDt7Nmbe+n0s33bI7Th+JzH1INN/3sGdPRtzTlRVt+MYY3zIikUxhnWPI7JqiPUu8snOUZ76fDX1I8K495ImbscxxviYFYtiVA0N4u6LGrMgZT/LUg+6HcdvTFm6jTW7jvLkFa0IDwlyO44xxsd8WixEZLyI7BWR5DxtkSIyR0RSnK+18q3TRUSyROTqPG3DnOVTRGSYLzMX5OZucdSuFmq9C8eh46d4efZ6ujeO4op2MW7HMcaUAV/3LCYC/fK1jQTmqmozYK7zPQAiEgi8CMzO0xYJPA10Bc4Dns5fYHytSkgg91zchEWbDrB404GyfGq/9Mqc9aRnZPHMwDaI2KRGxlQGPi0WqjofyL/v5irgfef++8CgPI/dD3wC7M3T1heYo6oHVfUQMIffFyCfu7FrI+pUD+W1bzegWnln00vecYTJP23j5m7n0KJedbfjGGPKiBvHLOqq6i7n/m6gLoCINAAGA2/lW74BkHdGojSn7XdE5E4RSRSRxH37vDvjXVhwIH+8pClLtxxkUSXtXZzKyuGvnyUTGR7Cw72bux3HGFOGXD3ArZ6P6Lkf018HHlfVnFJsb6yqJqhqQnR0tDci/sbQLg2JiQjj1TmVs3fxz6/WsmL7YZ69qg0RVYLdjmOMKUNuFIs9IhID4HzN3eWUAEwVkVTgamCMiAwCdgAN86wf67SVudzeRdLWQ8xP2e9GBNd8vmIHExelcluPeAa0r+92HGNMGXOjWMwAcs9oGgZ8DqCq8aoap6pxwMfAvar6GTAL6CMitZwD232cNldcm9CQBjWrVKrexfrd6Yz8ZBVd4mrxxOU2p7YxlZGvT52dAiwGWohImojcDrwA9BaRFOAy5/tCqepB4B/AMuf2d6fNFSFBAdx/aVN+2X6Yeev3Fr9COXc04zR3f5BEtbAg3ryhE8E2+50xlZJU1E/HCQkJmpiY6JNtn87O4dJXvieiSjAz77ugwp4+mpOj3PVBEvPW7WXKnd3oEhfpdiRjjA+JSJKqJhT0mH1MPAvBgQE8cGkzknccZc6aPW7H8Zm3529izpo9PHF5KysUxlRyVizO0uCODYivXZXXvk0hJ6fi9c4WbtzPy7PWM6B9DLf1iHM7jjHGZVYszlJQYAAP9mrG2l1HmbV6t9txvGrn4ZPcP+VnmkRX48U/tK+wu9mMMSVnxaIUruxQnybRVXnt2w0VpneRmZXNPZOXcyorh7dv7kzVUBsk0BhjxaJUAgOEhy5rzoY9x/hy1a7iVygH/j5zDb9sP8zL17SnSXQ1t+MYY/yEFYtSuqJdDM3rVuP1bzeQXc57Fx8lbmfyT9u466LG9Gtro8kaY/7HikUpBQQID1/WnE37jjNh4Ra345y11TuP8NfPkuneOIpH+7RwO44xxs9YsfCCvm3qcVmrujz35VqmLN3mdpwzduSE58K7WuEhvHFDR4LswjtjTD72X8ELAgKEN2/syEXNo3ly+io+Stxe/Ep+IidHeejDn9l9JIMxN3WidrVQtyMZY/yQFQsvCQ0K5J2bO9OjSW0e+2Qln/3syliHZ+yN7zYyb/0+nhrQmk6NynROKWNMOWLFwovCggN595YEusZH8qdpK/hi5U63IxVp3vq9vD53A0M6NuCmbue4HccY48esWHhZlZBA3hvWhc7n1OLBqSv4Jtk/L9jbfvAED01dQYu61Xl+cDu78M4YUyQrFj5QNTSICcPPo0NsBPdPWc63fjZ+VMbpbO6ZnESOKu/c3JkqIYFuRzLG+DkrFj5SLTSIibedR+uYGtw7ebnfDGe+Ku0IA0f/SPKOo7x27bmcE1XV7UjGmHLAioUP1QgLZtJtXWlWtxp3/SeJBSnenRf8TJzKyuHVORsYNGYhh0+cZsKtXbisdV3X8hhjyhcrFj4WER7MB7d3pXHtqtzxfiKLNpX9dKzrdh9l8JiFjJqbwsAO9Zn9cE8uaVmnzHMYY8ovKxZloFbVECbf0ZVGkeHcPjGRpVvKZqK/rOwc3py3kSvf+JHdRzJ4+6bOvDb0XGqGh5TJ8xtjKg4rFmUkqlook0d0JaZmGMMnLCVp6yGfPt/Gvcf4w9uLeWnWenq3rsvsh3vSr209nz6nMabismJRhupUD2PKiG5EVw/l1vFLWbH9sNefIztHGbdgM1eMWsDWA8cZdX1H3ryhE1F2ZbYxphSsWJSxujXC+O+IbtSsGswt7/1E8o4jXtt26v7jXDd2Mc99uZYLm9Vm9sM9Gdihvl1DYYwpNSsWLqhfswpTRnSjelgwN733E2t2Hi3V9nJylPcXpdL/3wtYtzudl6/pwLu3JFCnepiXEhtjKjtRLd9zMBQmISFBExMT3Y5RpG0HTjB07GJ2H82gdrVQYiLCqFcjzPM1ogoxEWHOrQp1I0IJDfr9xXNph07w2McrWbTpAD2bR/PiH9oRE1HFhVdjjCnvRCRJVRMKeszmzHRRo6hwPrq7O58k7WDXkZPsOpJB6oHjLN58gPSMrN8tH1U1hHoRucUkjKqhQUxesg1V5f+GtOO6Lg1tl5Mxxid8VixEZDwwANirqm2dtkjgQyAOSAWuVdVDInIj8DggQDpwj6r+4qzTD/g3EAiMU9UXfJXZDbG1wnnwsma/az+WmcXuIxnsPpLxayHZdSSD3UdOknboJIlbD3H4xGm6N47iX1e3p2FkuAvpjTGVhS97FhOB0cCkPG0jgbmq+oKIjHS+fxzYAlzkFI7+wFigq4gEAm8CvYE0YJmIzFDVNT7M7ReqhQbRtE41mtYpfB7szKzsAndNGWOMt/nsALeqzgfyX312FfC+c/99YJCz7CJVzb3wYAkQ69w/D9ioqptV9RQw1dmGASsUxpgyU9ZnQ9VV1V3O/d1AQYMT3Q587dxvAOSddi7NaSuQiNwpIokikrhvn3vjMBljTEXj2qmz6jkN6zenYonIJXiKxeNnuc2xqpqgqgnR0dFeSGmMMQbKvljsEZEYAOfrr+N2i0h7YBxwlaoecJp3AA3zrB/rtBljjClDZV0sZgDDnPvDgM8BRKQR8Clws6puyLP8MqCZiMSLSAhwnbMNY4wxZciXp85OAS4GaotIGvA08AIwTURuB7YC1zqLPwVEAWOc6wSynN1JWSJyHzALz6mz41V1ta8yG2OMKZhdwW2MMQYo+gpuGxvKGGNMsSpsz0JE0oH1bucooQjAe8PP+p7l9Z3ylBUsry+5kbWFqlYv6IGKPDbU+sK6U/5GRMaq6p1u5ygpy+s75SkrWF5fciOriBS67952Q/mHmW4HOEOW13fKU1awvL7kV1kr8m6oxPLSszDGGH9Q1P/NityzGOt2AGOMKWcK/b9ZYXsWxhhjvKci9yxcIyL9RGS9iGx0hmJHRN4TkV9EZKWIfCwiBY49LiJPOOutF5G+RW3Th1lFRJ4XkQ0islZEHihk3WEikuLchuVp7ywiq5xtjhIvzshUSN5LRWS5iCSLyPsiUuCJG2WdV0TGi8heEUnO0/aSiKxz3gfTRaRmSV+n0x4vIj857R86Ixt4RSF5nxGRHSKywrld7ud5zxWRJU7WRBE5r5B1y/q90FBE5onIGhFZLSIPOu3XON/niEihu83d+Pn+jqrazYs3PFeabwIaAyHAL0BroEaeZV4FRhawbmtn+VAg3tlOYGHb9GHW4XjmIQlwlqtTwLqRwGbnay3nfi3nsaVANzyTWX0N9Pfxz3Y70NxZ5u/A7X6StyfQCUjO09YHCHLuvwi8WNLX6Tw2DbjOuf82nonCvPXeLSjvM8AjZ/N7cSnv7NzfH3A58L2fvBdigE7O/erABue92wpoAXwPJPjTzzf/rVz0LAr5NFmiiipl/EmdQubgUNWjzvMKUIV8I+46rgKmqmqmqm4BNjrb89W8HoVt9x7g76qaA6CqewtYty8wR1UPqmcukjlAP/EMEFlDVZeo5x08CWfeEh/l/QNwSv83ptgcp831vFrAnC6qOltVc+fMzTt3S14F/l6c986lwMfOcr/OCeOrvCXkT3kVqOHcjwB2FrCqG++FXaq63LmfDqwFGqjqWlUt7nowV36++fl9sZD/zZbXH08lvl5EWuP5VPaaqjYFDuEZ2jz/uq3xDD7YBuiHZ+ypwCK26Q2FzsEhIhPwzOPREnjDaRsoIn8vZt0zmtfDC1mbAEOdbvzXItLMyZogIuNKkDXNB1kLe856QFCeLvzVOCMV+0He4tyGM3eLiNQXka+c9sKyRgGH8xSbssp6n7PbbLyI1PLzvA8BL4nIduBl4Aknr9+8F0QkDugI/FTEMn738/X7YkHhn35LUlHL+pN6kVR1OFAfz6eKoU7bDFV9ytfPfYZCgQz1nEL3LjAeQFUTVfUOV5P9nuL5QPCaiCzFM4d7NvhtXgBE5C9AFjAZQFV3qmqBxwNc9haeDw/nAruAV8Cv894DPKyqDYGHgffAf94L4jlW+QnwUO7ehoL448+3PBSLwqpqgRXV5U/qUMwcHKqazf92n5R0XV/N61HYdtPwDBkPMB1of4ZZYwto94YCn1NVF6vqhap6HjAfz/5gf8hbIBG5FRgA3Ojs7sivsKwHgJryvwP4Ps+qqntUNdvZJfkung9afpsXz9QHue/djzizvD59L4hIMJ5CMVlVPy1u+Tz84udbHorFGfGDT+oFzsEhIk3h12MWA4F1Baw7A7hOREJFJB5ohueAm6/m9Shsu58BlzjLXETB/3xnAX1EpJaza6IPMEs90+YeFZFuzmu9BWfeEl/lFZE6ACISimeWxbf9JO/viEg/4DFgoKqeKGSxAl+nU1jm4dnVBnnmhPFh3pg83w4GkgtYzG/y4jlGcZFz/1IgpYBlyvy94GzvPWCtqr56hqv7x8/XV0fOvXUDuuP5ReZ+/4Rz28//zir5zTL5l83z/Sxn2QK36cXMl+P5B7sJ+AueorwQWIXnj20yztlReArH3/Os+xdnvfXkORMj/zZ9ldVpqwl86eRdDHRw2hOAcXnWvQ3Prr2NwPA87QnO69wEjMa5nseHeV/Cs2tvPZ7uPf6QF5iCZ9fNaTy9tdud594OrHBubzvL1ge+Ku73jeeMmKXOdj4CQr34sy0o73+c98FKPB8kYvw87wVAEp4zhn4COvvJe+ECPLtMV+b53V+OpwCnAZnAHpz/S/7w881/8/uL8pwu1gagF54u1jLgBjyn9H2iqlNF5G1gpaqOybduG+C/eLqi9YG5eD6tS0HbVJtYyRhjCuT3u6HUc1wid7a8tcA055/648CfRGQjnrMC3oPfHrNwlpsGrAG+Af6onv2vhW3TGGNMAfy+Z2GMMcZ9ft+zMMYY4z4rFsYYY4rlt8WikCE+Fsj/BjTbKSKfFbLu9yKyzTldLbftMxE5VkbxjTGmQvHLaVXzDMfRG89pZctEZIaqXphnmU8o+pziw0AP4EfxjOwZU8SyBWUQPMd0cs4svTHGVDz+2rMocjgOEamB54Kbz4rYxlQ8F68ADOF/V3UiItVEZK54hrVeJSJXOe1xTm9mEp5zrRv+bqvGGFMJ+WuxKG44jkHAXC1ibBU811T0dHop1wEf5nksAxisqp3wXKn8Sp5dVs2AMaraRlW3lu5lGGNMxeCXu6FK4HpgXDHLZAM/4ikUVVQ1Ne8hDOCfItITyMFTiOo6j21V1SXej2yMMeWXv/YsCh04T0Rq49lN9WXugyIyyznonb+ATAVG4bkwL68bgWg8QwGci+cy+zDnseNeeg3GGFNh+GvP4teBs/AUievwDPEBnkGzvlDVjNyFVbXv7zcBwALg//CMIZNXBLBXVU+LyCXAOd4Mb4wxFY1fFgtVzRKR3OE4AoHxeYbjuA54oYTbUTwToOQ3GZgpIquARAoeAdYYY4zDhvswxhhTLH89ZmGMMcaPWLEwxhhTLCsWxhhjimXFwhhjTLGsWBhjjCmWFQtjjDHFsmJhjDGmWFYsjDHGFOv/AUvJDzjkVny2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  42.51098270908371\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  42.889131305401\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  43.458399450202606\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  44.211405166725186\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  45.13895408913288\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  64.42005960876229\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  170.7833386980848\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  214.5009305339832\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  169.78381122964717\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  147.88583030699857\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  169.99835456510027\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  162.75401892729846\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  94.94665360011861\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  100.50759409613448\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  225.1051943241208\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  140.2085904107995\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  229.9143052391646\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  244.6647808617025\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  197.42379552766818\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  119.3590391670532\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  68.3537376276246\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  77.82720323782097\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  174.15943717130523\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  106.31204499039323\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  190.83064585062817\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  160.73279497058954\n"
     ]
    },
    {
     "data": {
      "image/png": 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Jf4TrPrOlRF6eAh/eCVX73Y5MKb+ScKwLP2rUKJOdne12GKql3rkBdiyGO1a6HYl3qirgy/+BxU9Dcm+48J/Q4wS3o1Kq1URkqTFmVEPP6QxuFTzcHjbbUu3iYOL/wbT/2jIhM86Gz/8MNQfdjkwpn9NkoYKHWxPyjlav8XDT1zDiSljwKEw/TYfYqrCjyUIFh6r9sL8gtFoW9cUmwZQn4bJXoGA1rJ3ldkRK+ZQmCxUcAlVA0N8Gng8xHWD3qub3VSqEaLJQweHQOhYhvmSmCGQMhnxNFiq8aLJQwSFYJ+S1RuchkL9aV+FTYUWThQoOxTnQLsGWCA91GUOgqhz25bgdiVI+o8lCBYe6YbMibkdy9DoPsV+130KFEU0WKjgUbwuPW1AA6YPsTHTtt1BhRJOFcp8xoTchrynR7SGlj7YsVFjRZKHcV14ANQdCc0JeYzKGQH6IlC1RyguaLJT7wmkkVJ3OQ2Dfdi1jrsKGJgvlvnBMFhlOJ3f+anfjUMpHmk0WInKRiGwUkRIRKRWRMhEpbe44pbxWNyGvY0934/AlTRYqzER5sc/fgPONMWv9HYxqo4pzILErRMe6HYnvJHWF9p1gt/ZbqPDgzW2ofE0Uyq+Kc4J3dbzWEnE6uXVElAoP3rQsskXkP8B7wKFC/caYd/0VlGpjinOg18luR+F7nYdC9gvgqbXreCsVwrxJFklABXYZ1DoG0GShjl7NQSjdGV6d23UyhtghwUVbILVv8/srFcSaTRbGmGsCEYhqo/btAEx4JotDZT9WarJQIc+b0VDdRWSmiBQ4j3dEpHsgglNtQDgOm62TNgAiorTfQoUFbzq4XwBmAV2dxwfONqWOXvFW+zWcZm/XiYqB1H5a9kOFBW+SRZox5gVjTI3zeBFI83Ncqq0ozoGoWEjIcDsS/9ARUSpMeJMsCkXkKhGJdB5XAYX+Dky1Efu22VZFRJgWE8gYDKV5UFHkdiRKHRVv/odeC1wG7AZ2AZcA2umtfCOcqs02pLPO5FbhwZvRUNuAyQGIRbU1xth1LHqOcTsS/8kYar/mr4Je492NRamj0GiyEJHfGmP+JiL/wM6r+BFjzG1+jUyFvwPFcLA0vFsWiRkQn6ad3CrkNdWyqCvxkR2IQFQbVDcSKpyTBejaFiosNNpnYYz5wPm2whjzUv0HdkZ3k0RkhjMvY1W9bQ+JyDoRWeHM3ehY77l7RWSTiKwXkbPrbZ/obNskIve06rdUwanYqTYb7smi8xAoWAe1NW5HolSredPBfa+X2w73IjDxsG2fAUOMMcOADXXnEZFBwFRgsHPM03Wjr4CngEnAIOAKZ18VDuom5IXjHIv6MoZC7UEo3Oh2JEq1WlN9FpOAc4BuIvJEvaeSgGY/Ihlj5olI5mHbZtf7cTF2ZBXAFOANY8xBYKuIbAJOcJ7bZIzZ4sT0hrPvmuaur0JAcQ7EpUJMgtuR+Nehsh+rIH2gu7Eo1UpNtSx2YvsrKoGl9R6zgLObOM5b1wIfO993A3bUey7X2dbY9iOIyI0iki0i2Xv27PFBeMrvwn3YbJ3UfhARrf0WKqQ12rIwxnwPfC8irxljqn15URH5PbZ18qqvzmmMmQ5MBxg1atQRo7dUENq3DbqNcjsK/4uMtnWidESUCmHe9FlkisjbIrJGRLbUPVp7QRG5GjgPuNIYU/emngf0qLdbd2dbY9tVqKutsRVn20LLAuytKC37oUKYt4UEn8G2BE4DXgb+3ZqLichE4LfAZGNM/RFVs4CpIhIjIr2AvsA3wLdAXxHpJSLtsJ3gs1pzbRVkSnPB1IbfCnmNyRgC5flQrrdIVWjyJlm0N8Z8AYgxZpsx5s/Auc0dJCKvA4uA/iKSKyLXAU8CicBnIrJcRJ4FMMasBt7Edlx/AtxijKk1xtQAtwKfYud9vOnsq0JdOJcmb8ihsh/aulChyZuV8g6KSASwUURuxd4Ganb4ijHmigY2P9/E/g8ADzSw/SPgIy/iVKGkrSWL+mU/jj3N3ViUagVvWha3A3HAbcBI4Cpgmj+DUm1A8Ta7MFBSg4Pbwk98CiR20U5uFbKabFk4k+IuN8bcCZSj1WaVrxTnQMeeEBHpdiSBo2tbqBDWZMvCGFMLjAtQLKotKc4J/5nbh+s8BPash5oqtyNRqsW86bP4TkRmAW8B++s2GmPe9VtUKvwV58CgKW5HEVgZQ8BTDXvXQ+ehbkejVIt4kyxisSvjnV5vmwE0WajWqSyFA0Vtp3O7Tl2C2L1Kk4UKOd4ki38ZY76uv0FExvopHtUW7Gsj1WYPl3wsRMZov4UKSd6MhvqHl9uU8s6hYbNtrM8iMsoWEtytNaJU6Gmq6uwY4CQgTUR+Xe+pJKANDWFRPtfW5ljU13kIrP/YLikr4nY0SnmtqZZFO+zkuyjsrOu6Ryk/lBZXquWKcyC2A7Tv5HYkgZcxFCoKbekPpUJIU1VnvwK+EpEXjTHbAhiTCnfF29pmqwJ+vLZFYmd3Y1GqBbzp4I4RkelAZv39jTGnN3qEUk0pzoGMNrrgYcZg+zV/JfQ9w91YlGoBb5LFW8CzwL+AWv+Go8Kex2NHQ/Wf5HYk7mjfCTr00LIfKuR4kyxqjDHP+D0S1TaU7YLaqrZ7Gwq07EeoqXXWfouMdjcOl3kzdPYDEblZRLqISHLdw++RqfDUVudY1Nd5COzdCNWVbkeimlN9AGZMhEcGwqKn7M9tlDfJYhpwF7CQH9bhzvZnUCqMteVhs3UyhtiFn/asdTsS1RRj4P1bIW+pfb1++jt4fAR88xzUHHQ7uoBrNlkYY3o18OgdiOBUGCrOAcTet2+rMuqNiFLBa8GjsOptmPAnuP5zuPpDSO4NH90JT2TB0hd/uEXVBjSbLEQkTkT+4IyIQkT6ish5/g9NhaXiHOjQHaLauR2Je5J7QXSc9lsEs/Ufwxd/gSGXwLhf2W2Z4+Caj+CnM+2w5w9uhydHwfLX7JryYc7bNbirsLO5wa6U9//8FpEKb8U5bfsWFNg1PNIHQb6uEByUCtbCO9dDl+Ew5ckfz7QXgWNPty2Nn7wJMUnw3k3w9Imw8m3whO+AUW+SxbHGmL8B1QDGmApA6xSo1ine1vZqQjWk8xBbI8oYtyNR9VUUwetToV08TH0Nots3vJ8I9Dsbfj4PLv83RLaDd66DZ8bCmvftEPGW8tTCvh2wbSF8/x/I+br5YwLIm6GzVSLSHluWHBE5Fmh7vTvq6FVVQPlubVmA7bdY+iKU5tnbcsp9tdXw1jQo3QlXfwQdvFjyVwQGng/9z4XV78LcB+HNn9kS9Kf9HvpN/KFlUnMQSnKhZIdNCvu2//B9yXZ7XU+921nRcXDnRohJ8M/v20LeJIv7gE+AHiLyKjAWuNqfQakwtW+7/dox09UwgkL9tS00WQSHT38PW+fBBc9Aj+NbdmxEBAy9BAZdYDvF5z5oWygZQ23rpGQHlO3G+cxtSYRdl71DD+hxov3asSd07AEH9tmWyrr/wvCpPvwlW6/ZZGGM+UxElgGjsbefbjfG7PV7ZCr86LDZH9Qv+9F/oruxKNvK++afMOZWGPGT1p8nMsq+uQ+5GL5/3Z43OhaOnWCTQP2EkNSt8Yl+Hg98cT98/0boJAsRuRD40hjzofNzRxG5wBjznr+DU2FGk8UPYhLt30GHz7pv20L48E7ocwac+RffnDMyGrJ+Zh+tEREBwy6H+X+H0l2Q1MU3cR0Fbzq47zPGlNT9YIzZh701pVTL7NsG0fEQn+p2JMFBy364b992+M9VdtDFxc/bkWrBYthUMB5Y+ZbbkQDeJYuG9vGmr0OpHyvOsf8pddEfq/NQKNwMVfvdjqRtOlgOr19h50hc8Qa07+h2RD+W2ge6jYQV/3E7EsC7ZJEtIo+IyLHO4xFsyQ+lWkbnWPxYxmDA2HH9KrA8Hjs/omANXDoDUvu6HVHDhk21rc8guF3pTbL4JXZS3n+cx0HgluYOEpEZIlIgIqvqbbtURFaLiEdERh22/70isklE1ovI2fW2T3S2bRKRe7z9xVSQMUaTxeEOlf3QNbkDbt7fYO0sOOv/2b6KYDXkYoiIghVvuB2JV7Wh9htj7jHGjHIe9xpjvGk3vwgcPsxjFXARMK/+RhEZBEwFBjvHPC0ikSISCTwFTAIGAVc4+6pQs38vVFdosqiv4zHQLlFncgfamvdh7v/BiCth9M1uR9O0+BToc2ZQzA73ZjRUP+BOWrhSnjFmnohkHrZtrXPOw3efArxhjDkIbBWRTcAJznObjDFbnOPecPZd01zcKsjoSKgjRUTYW1HayR04u1fCzF9A9xPgvEdDo/9s+OWw4WPY+pUtNeKSYFkprxuwuN7Puc42gB2HbT/RTzEofyraYr921FIfP9J5CKx4096mC4U3rlBWvsd2aLfvZEt0RMW4HZF3+k2CmA62BIiLycKbPosaY8wzxphvjDFL6x5+j6yFRORGEckWkew9e/a4HY463MZP7X/SZK1u/yMZQ+Bg6Q+LQin/qCiyZTj274Gpr0JihtsReS86FgZPgbUfuDpyLlhWyssD6i9w0N3Z1tj2Ixhjptf1q6Slpfk4PHVUKktg3Ye23HNbLk3ekPplP5Tv5S2D926xK91tXwRTnoKux7kdVcsNmwrV+2Htf10LwZvbUNOcr3fV22YAX35EnAW85gzL7Qr0Bb7BlhfpKyK9sEliKnAUc/GVK1bPhJpKGH6F25EEn/SBgNh+i4G6TIxPVB+wr7lv/2VXuYuOt6+946+3t/1CUc8x0KGnHRU1/HJXQvCmNlSv1pxYRF4HTgVSRSQXO+u7CPgHkAZ8KCLLjTFnG2NWi8ib2I7rGuAWY0ytc55bgU+BSGCGMUaHjoSa79+A1H7QLcvtSIJPu3hIOVaHz/pC0RbIngHf/RsOFENqf5j0kH1zje3gdnRHJyIChl0GCx6xBQkTOwc8BG9GQ0UDNwEnO5vmAv80xjS5nqAxprGPkTMb2f8B4IEGtn8EfNRcnCpIFW2xzf8J92kHbmMyBsOu7927fk1V6N4e9NTCxtm2FbHpczsnYcB5thWROS68XnPDp8L8h235j5N+GfDLe9Nn8QwwEnjaeYx0tgWvPesgN9vtKBTYVgVii6KphmUMtUOLK0sDf+3P74fHh9mS2KGkfI8tsvf4CFsKPH81nPo7uGMVXPYS9BofXokC7Czzrll2VJQLvOmzON4YM7zez1+KiIsfg7zgqYXnz4Rxv4ZT7g7dT02hzuOxZZp7n+LdQjJtVd199II10HN04K6btxS+fswWq/v2OTj5rmYPcV3+aljwKKx+DzzV0OsUOPsB6D+p8XLf4WT4VPj4t/bvUFfmPkC8aVnUOqvjASAivfHffAvfSB9gO7TmPwzPna4jTdyyfZGt6jlcxyQ0qa7sRyAn59XWwAe3Q3w6ZI6Hxc8Ef0HD6gPw0mTY8Ckcfx3c8i1MmwWDJreNRAH1yn8EvnXhTbK4C5gjInNF5CvgS+A3/g3rKEkkXPA0TH3dLuM5/VSY/4j9D6IC5/vXoF2CjvJpTofutgM2kB9qFj9tO9XPeQhO/wNUFMKylwN3/dZY8R+o2AtXvA6T/gpp/dyOKPDiU20tqxVvBbz8hze1ob7ADmW9DVtUsL8xZo6/A/OJAefAzUvs1y/uhxcm2pLQyv+qKmD1+zBoih3xoxonYvstAtWyKM6BOf8L/c+x60f3HA3HjIWvn7DrRAcjjwcWPQVdRthY27Jhl0PZTsiZH9DLNpssROQWoL0xZoUxZgUQJyJBXn2rnvgUuPQluOhfsHcDPDMWlky3Lz7lP+s+hKoynVvhrc5DIH+N/1+XxsCHv7GL/Jzz0A+dwON/Y9+Avne/ummDNn1u//+OuTX8Oq5bqv8kiEkKeEe3N7ehbnBWxwPAGFMM3OC3iPxBBIZdCjcvhsyx8PFd8MoFsG9Hs4eqVvr+NTuJqK1/CvRWxhA7Q7d4q3+vs+od+8Y74U/29ledY0+3n9oXPBqct2sXPQmJXWHwBW5H4r7o9rbFvnaWbcEHiDfJIlLqlYl1yoaH5vCipK5w5dtw3mN2aO0zJ8F3r9pPW8p3SnfClrl2MlSENy8xdWhElD8n51UUwSf32NXXjr/+x8+J2NZF8VZY857/YmiN3SttxdUTf952OrKbM+xyqCq3LfgA8eZ/8ifAf0RkgohMAF53toUmERh1Ddz0ta3L8/7N8MZPoCzf7cjCx4o37XBMvQXlvbSBIBH+7bf47E82YZz/eMNrTQ84z860n/9IcH2AWvS0Ldkxclrz+7YVx4yFDj0CuiiSN8nibuwIqJucxxfAb/0ZVEAk94Jp/4WzHoBNX8DTo+3YbXV0jLFzK7qfYMtYKO9Ex0JKX/+NiMpZAN+9Aifd+kPxwsNFRNi5SQWr7fDUYFC6y85YPu4qW7VYWRERMPRS2PxlwD7oejMaymOMedYYc4nz+Gdd3aaQFxFh//P8fB507AlvTYPZf3Q7qtC2a7mdQT9CWxUt1nWEHeGybaFvz1tdCR/cYdcSOaWZlYmHXmL/L8x/ODhaF98+B54aGH2T25EEn+FTbQt+1dsBuZzeUAY7ie/6z+3ksUVP6vDao7H8dYiMgcEXuh1J6Dn9j5DYBV650LelqBc8AoUb7cpw7eKa3jcyGsbeDrnfBnxo5hGq9tvCgAPPs3cC1I+l9beDEgI0gk2TRZ3IaDjzfvtGN+8ht6MJTTVV9lNO/0l6y6A1OvaAaz+1I6Pe/Clkv3D059yz3vZBDL0M+kzw7pgRV9mZ3fP/fvTXPxrfv26rx4651d04gtnwqbB7BRSs9fulvEoWIpIgIgn+DsZ1Cem2jMCK/2jrojU2fWZnAo/Q8h6tFp9iS1j0OQP+ewfMfbD1t4M8HlvSIyYBzv5f74+LjrW3Z7fMhVyXFsX0eGzHdreR0ENXUm7UkEtsxYoAtC6aTBbOCnnbgW3AdhHZFlIT8lpj7O3aumit5a9BfJqr6wSHhXbxMPU1GHElzP0/+O+vWlfa4buXbX2us/4fJLRw9chR19oSJAseafl1fWHDJ1C0GcbcopPwmpKQZluMK9/y+4TORpOFiPwBOA841RiTYoxJBk4DJjnPhadAty6MsQXSQl1FkR1BM/QyHQvvC5HRdgnQcb+GpS/Y9aNb8jop2w2z/2SLBI64suXXj0mEE38B6/4bkFscR1j0lB0aOnBK4K8daoZdDqV5fu9jaqpl8VPgImPMlroNzveXAT/za1RuC1Trwhj7JvDPU6C2ybWkgt+qd2zJaB0F5TsicMZ9MOlvdvLVKxfZe/je+OQeu5TteY+1/pP5ib+w8xsWPNq641tr53ewbYG9fqQ3qyi0cQPOhXaJfq9E21SyMMaYygY2HgDCu7BSoFoXa2fZx971oT/HY/lrtmO2sTH8qvVO/DlcMgPysuGFc6Akr+n9N3xq16A++S5I7dP668Yl2wmsK9+GIj+XIalv0dP2zS/rp4G7ZiirK/+x5n2/lv9oKlnkOTO2f0RETgd2+S2iYFHXuvjqb/45f2UpfHy3rTaa2h8WPhEc49pbY8962LlMZ2z705CLbKmafTvg+bPs37whB8ttocC0AfY1fLTG3Gpney984ujP5Y2SPFj9LmT9LPTXzQ6k4U75j/X+W4G6qWRxG/BPEXlRRH7pPF4CpgPhP5atrnWx8k3Yu8n355/zgL2vfP7jduTJ7hW2/k0o+v51OyJj6KVuRxLeep8C13xkb/fNOBt2fHPkPnP/D0p22NeVL1aITOpi+zy++7edTe1v30y3E81O/Ln/rxVOjhkHSd39Oiqq0WRhjFkNDAHmAZnOYx4wxHku/Pmr7yJvmf1Pcfx10H2k7aBKyLDrCYQaT60tldxnAiRmuB1N+OsyDK6bDe2T7apx6+uVadv5nV3UaNS1vl2edeztdhb1oid9d86GHCy3nfkDJ0OnY/x7rXATEWEra2/+EsoL/HOJxp4QkT7ASGPMDGPMb5zH88DI+sushjV/tC5qa+z4+fg0WyYaICrGfpLa/EXoLQG7dZ5dB0FvQQVOp0ybMNIH2CKYy16xr6tZt9nJdBPu8+31knvZ8fzZL9hRb/6y/FWoLNFJeK01bCqYWtvH5AdN3YZ6DChtYHup81zbMPYO37Yuvn0Odn0PEx/88T3ZUdfakSf+/vTma9+/DjEd7KprKnDiU20hzN6nwqxb7fosu1fY5Ubbd/T99cb9yq63seSfvj832Bbq4qftBLwex/vnGuEufQB0Ge63UVFNjUvLMMYcUVzfGLNSRDL9Ek0wSkiDE663476PdnRJSR58+f/s7NzDaye172Q79b59ztYI6tDt6OIOhINlsPYDGHaZnfWrAismAa54wyaLFf+BfpPsqBh/yBgE/c+FJc/aPraYRN+ef/1HdrnXM//i2/O2NcOmwqf3wrf/gtiOPj11U8miqSu192kUwe6k2+Gbf9nWxUVH8cnqk7vtvd9zHm547Pvom2xfxpJn7KzbYLdmFlRX2AKMyh1R7eCCZ+1Y+8zx/p3tPP43sP5Deztq7G2+Pfeip2xV3AHn+fa8bc3QS+CLv9gRcT7WVLLIFpEbjDHP1d8oItcDLhWMcYkvWhfrP7afwif8qfEKmp2OsctGZr9orxPsQwe/fx2Se0OPE9yOpG2LiPBfi6K+7iPtba9FT8IJN/quNZm71JYlmfhgw4syKe8lpMMdK+DAvtYdf3//Rp9qKlncAcwUkSv5ITmMwi6p2vbqTx9qXfwNLpresmOr9sNHd9mx72N+2cx1brOzoZe+5PtPb75UvM2WFzjt91q7py0Z/xt46XxY/u8jl2ZtrUVP2n6v467yzfnauoR0+/CxpobO5htjTgLuB3Kcx/3GmDHGmN3NnVhEZohIgYisqrctWUQ+E5GNztdOznYRkSdEZJOIrBCRrHrHTHP23ygi7q2rWNe6WPkW7N3YsmPrxr6f91jzY9+7joBeJ8PiZ2zJ72C14k37ddjl7sahAitzPHQ/Hr5+3DclavZttzOPR07zfT+I8ilvVsqbY4z5h/P4sgXnfhGYeNi2e4AvjDF9scuz1i3bNQno6zxuBJ4Bm1yA+4ATgROA++oSjCtOasW8i90rbfmCrJ/BMWO8v07ZTtvCCEZ1S6dmjtfx8G2NiG1d7Nvum9dn3egqnYQX9Py2+JExZh5w+KDsKcBLzvcvARfU2/6ysRYDHUWkC3A28JkxpsgYUwx8xpEJKHBa2rrweGx56fad4Iz7vb9OnwmQPggW/iM4S4DkfmvLRw+f6nYkyg19z4b0wXZRpaMpi11ZCstetiMDO3T3XXzKLwK9Ul6GMaauZsBuoG7KbzdgR739cp1tjW0/gojcKCLZIpK9Z88e30Zd30m3Q1Ssd62LpS/YN9azH7BF2bwlAif9EgpW24l6wWb5axAdF5hOVRV8IiJg/K9tAcwv7of81a37UPPdK3Cw1K5ZoYKea/V/jTFGRHz2sdkYMx1bt4pRo0b57+N4Qprt2Fv0pDMyqm/D+5Xlw+f32/6H1tzXH+IMgfv6CTsvI1hUV9pCbwPP13vMQa661sOesoMUlB0kv7SSgrKDFJRWUlB6kIKySvJL7XOlB6oxtOy/TASxzIgcwtivH4OvH2NfRCc2xo8kL2U0+zqPJS6lB6mJ7UhNiCE1IYaUhHbERNUb6VRbA4ufhZ4nQbesRq+jgkegk0W+iHQxxuxybjPVFTHJA3rU26+7sy0POPWw7XMDEGfTTrrNTnqZ91DjI6M+vRdqDsC5j7RutFBUO1vP//P7YOdy2/EdDDZ8bEsy6C0o1xlj2FVSycq8EtbsLGXnvgPkOwlhT9lBCvcfOUAiQiAlIYaMpBg6d4hlWPcOdIxrR0QrXqILeJ6vS3LJ2LuY3mXfMqTsW44v+xxyYKOnGws8Q/i3ZyhLPAPZT3uSYqNITbTJ42xZzHUl21k68Lck5ZdxTEo87aICfaNDtUSgk8UsYBrwoPP1/XrbbxWRN7Cd2SVOQvkU+N96ndpnAfcGOOYjNde62PSF7fw79d7GWx7eGHUNzHvYXufifx1dzL6y/HVI7Aq9TnE7kjbFGEPevgOsyithZV4JK/NKWZ1XcighRAikJ8aSnhRD905xZB3TifTEGDKSYklPjCE9MZaMpBhSEmKIbE1maNQAwGn5ejxQsJrqDV/QfdMcpuV9xTW1n+KRKHYlDmF93EiWRQ0nu/pYTtzzGls9GVw6tyOeufOIihB6pcbTNyOBPumJ9E1PoG9GAr1S43/cIlGuEeOnDlQReR3bKkgF8rGjmt4D3gR6Ytf1vswYUyQiAjyJ7byuAK4xxmQ757kW+J1z2geMMS80d+1Ro0aZ7Oxsn/4+RyjfA48PszNOL643b7H6ADw9GiKi4KaFtkjg0fj093YY7e3LoWPPozvX0dr1PUw/1S71OeGP7sYSxowx5BYfcJJCCaucR3GFHaoaGSH0y0hkSNckhnbvwJBuHRjUJYnY6CB7U62uhNxvYPMc2DLHtpAx0C4BqsqpOutvbDhmKpsKytmQX8bGgnI2FZSzrXA/HudtKTJCOCYlziaP9ET6ZiQwuGsSvVMTiPBp0lMAIrLUGDOqwef8lSzcFJBkATD7j/ZT/81LIK2f3fbF/8D8h2HaB7a/4miV5MLjw+2M2Yn/d/Tnay2Px66hULwVbs32T7G6NsrjMazeWcqc9QV8s7WIVTtL2OckhignMQzt1oEh3TswtFsHBnRODL7E4I2KIluleMscW0b74n9Bu/gjdqusrmXr3v1sLChnY34ZG/PL2VhQRk5hBbVOFkmMjWJEj44c16Mjx/XsxIgeHekU74P1O9o4TRb+cnjromAdPDsOhlx8dDWkDvfujbD2v/Dr1XYYrhuWvwbv3QRTnobjrnQnhjBSVlnNgo17mbO+gDnr97Cn7CAiMKhLEsOc1sKQrh3oH6qJwQ+qajxs3buflXklfLe9mO+272Pd7tJDrZBeqfFO8ujIiB6dGNAlkehI7QdpCU0W/nSodbEYPrgDCtbYT94Jab67xu6VNglNuM8OWQy0yhL4x0i7jsK1s+3QSdUixhg279nPnHUFzFlfwLc5RVTXGhJjozi5Xxqn90/nlP5ppCYc5W3LNmb/wRoneeyzCWTHPvaUHQQgJiqCYd07cFzPTodaIJ07aHXkpmiy8Ke61kV8qp3Vev4TtnSBr71yoR3PfsfKo+8HaalP7rX9JjfOga7HBfbaIayyupbFWwqdBLGH7UUVAPTPSOTUATZBjDymE1H66ddn6gYCLN+x71ACWZVXSlWtnTzYMzmOE3slc2LvFEb3TqZ7pziXIw4uTSUL1+ZZhI26kVELn4CeY+C4n/rnOif90iaMFW9Clp+u0ZD81bYkw6hrNFF4oXh/FR+t2sWXawv4evNeKqs9xEZHMPbYVG44uTen9U/TNyg/EhG6d4qje6c4zhvWFYCDNbWs3VXG0m3FLNlSyGdr83lraS4A3Tq258TeyYzuncLoXin0SG6PaGHMBmnLwhcqiuztqHG/OrrFkZpiDPxzvC0uePPiwNwKMgZePM/OJP/lspbNQm9Dqmo8zF1fwDvLcvlyXQHVtYYeye05vX86pw5IZ0zvFO13CCIej2F9fhlLthSyZGsRS7YWUeQMQe7SIZbRvVMOtT4yU+LaVPLQ21DhYsWb8O4N8JM3od/Z/r/eyrfhnevgvEftsq/qEGMMq/JKeWdZLrO+30nR/ipSE9oxZUQ3LsrqxqAuSW3qTSaUeTyGTXvKWbKlkMVbiliytZC95TZ5ZCTFcGKvlEOtj96p8WH976rJIlzUVsPjI2xH8zUf+vdaB8vhyVG2Lv4Nc3RRGkd+aSUzv8vj3WW5bMgvp11kBGcOyuDikd04uW+a9j+EgbrBCEu2OsljSyEFTqd5WmIMJ/Zyblv1TuHYtPBKHtpnES4io+3Sq7N/D3lLodtI/11r3t+gbBdc9kqbTxQHqmqZvWY37yzLY8HGPXgMZPXsyAMXDuG8oV3pEBftdojKh0SEPukJ9ElP4MoTj8EYQ05hBYu3FLJ4SyFLthTx3xW2HmpqQoxtdTgJpE96Qlglj/q0ZRFqDpbBI4Ohz+lw6Yv+ucaeDfDMSbYA4gVP+ecaQc4Yw7c5xbyzNJePVu6i7GAN3Tq258Lj7G2m3mkJboeoXGKMYVthxaGWx+IthewqqQQgJb7dDx3mvVPoG2LJQ1sW4SQmEUZdbde6KNra+HrerWUMfPxbW4L8jPt8e+4QUFZZzTtLc3l50Ta27N1PXLtIJg3pwsUjuzG6V4qWmFCICJmp8WSmxnP58T0xxrCj6IBteWy1LY+PVtrFRJPj25HVsxPH9exIVs9ODO/Rgbh2ofm2G5pRt3Un3mRX31v8NJzTglX7vLHuv7Ycw8S/+mUd32C1eU85Ly/M4e2lueyvqmVEj478/dLhTBraOWT/c6vAEBF6psTRMyWOy463xbN3FNnbVku2FrFsezGfr80HbK2rAZ0TyerZiaxjbALpmRwaI670NlSoeu9mWD0TfrXad0NaqyrgqRMgJgl+Pg8iw/tN0uMxfLVhDy8szGHehj1ERwrnD+vKtJMyGd6jo9vhqTBSvL+K5Tv2sWx7Mcu2F7N8+z72V9UCkJrQjhE9fkgew7q71/rQ21DhaMyttl7Tvy+2BdlSjj36cy54FEp2wNUfhXWiKK2s5u3sXF5elENOYQXpiTH8+sx+XHFCT9IStdyG8r1O8e04bUA6pw2wrfVaj2FDfplNHtvsTPP6rY+BXRIZ1r0jAzon0jc9kf6dE0l2uVCitixC2ZpZMOuXUFtlK9JmTWvdQksARVvgqdEwaHLwrJ3hY5sKynl5kb3VVFFVy8hjOjHtpEwmDu6sC+8o1xXvr+K7HTZ5LNtezKq8Ekoraw49n5oQQ7+MBPpl2OTRL8OWbE+K9d1oPJ1nEc5Kd8LMX8DWr6D/uTD5HxCf0vLzvDYVcubbIohJXXwfp0s8HsOc9QW8uDCH+Rv30i4ygvOHd+XqkzIZ2r2D2+Ep1ShjDPmlB9mQX3bosT7flm2vcG5hAXTtEEs/J3nYRwLdOranU1y7Fg/I0GQR7jwe29n9xf22hPkFT7ds3e4Nn8Jrl8GZf4Gxt/svzgCqqKrhrexcZny9lW2FFXROiuWq0T2ZekJPreyqQprHY4sl2uRh1/tYv7uMTXvKqarxHNovKkJITYghPSmG9MQY0hKdVROTYkhLiCHdWUUxLTHmUCl3TRZtxe6V8M4NsGetXb/7jD9DdPumj6mutCv7RUbDL762a3+HsL3lB3l5YQ4vL97Gvopqsnp25NpxvTh7cGdd20CFtZpaD9uLKtiQX87ukgPsKT9IQelBCsrsY09ZJYX7q2joLT85vh3piTF8+qtTtIO7Teg81JYR//x+WPIMbPnKLsrUeWjjxyz6h1397qczQzpR5Ozdz3Pzt/D20lwO1ng4c1AGPz+5N6MytfihahuiIiPonZbQ5ITR6loPheVVFJRV1ksklfZr6cEmz68ti3C16XM7vPZAMUz4E4y+5chKtft2wJPHQ98z4fJX3InzKH23vZjp87bwyerdREdEcFFWN64f35s+6TrDWqmW0qGzbVGfM+CmRfDBbTD7D7BxNlzwLHTo9sM+s39vv579gDsxtlJdp/U/523hm61FJMVGcfOpxzLtpEzSE3UlNKX8QZNFOItPgcv/Dctehk/usfWezn8cBl8Am+fAmvfhtD9Ax55uR+qVgzW1vP/dTqbP38KmgnK6dWzPH88bxOXH9yAhRl/KSvmT/g8LdyJ2mdfMcfDO9fDWNNh4JeR+C5162RX4glzJgWpeW7KdF77eSkHZQQZ2SeKxy0dw7rAu2mmtVIBosmgrUo6F62bDV3+F+X8H47GLKEUH722bXSUHmLFgK69/s4PygzWM65PK3y8bzrg+qSFRS0epcKLJoi2JjIbT/wB9z4KCNYFZba8V1u0uZfq8LcxavhMDnDu0Czee3Jsh3XQSnVJu0WTRFvU4wT6CiDGGRVsK+edXW/hqwx7i2kXy0zHHcO3YXvRIjnM7PKXaPE0WylU1tR4+XrWb6fO2sDKvhNSEdtx5Vj+uGn0MHeNCd96HUuHGlWQhIrcDNwACPGeMeUxEkoH/AJlADnCZMaZY7M3px4FzgArgamPMMjfiVr5TV47jXwu2sKPoAL1T4/nfC4dyUVY3YqPb9jKuSgWjgCcLERmCTRQnAFXAJyLyX+BG4AtjzIMicg9wD3A3MAno6zxOBJ5xvqoQVFh+kJcWbePlRTnsq6hm5DGd+MO5gzhzYIauQqdUEHOjZTEQWGKMqQAQka+Ai4ApwKnOPi8Bc7HJYgrwsrFTzReLSEcR6WKM2RXowFXrbd5Tzgtfb+WtbC3HoVQociNZrAIeEJEU4AD29lI2kFEvAewGMpzvuwE76h2f62zTZBHkaj2GuYeVB9dyHEqFpoAnC2PMWhH5KzAb2A8sB2oP28eISIuKVonIjdhbWfTsGRozksNVSUU1b2bv4JXF29heVEFGUgy/ObMfV5yo5cGVClWudHAbY54HngcQkf/Fthby624viUgXoMDZPQ/oUe/w7s62w885HZgOtpCgH8NXjVi3u5SXFuYw87s8Kqs9nJCZzN0TB3DW4Aydaa1UiHNrNFS6MaZARHpi+ytGA72AacCDztf3nd1nAbeKyBvYju0S7a8IHjW1Hj5bk8+LC3NYsrWImKgILhjRjWknZTKoa5Lb4SmlfMSteRbvOH0W1cAtxph9IvIg8KaIXAdsAy5z9v0I26+xCTt09ho3AlY/Vlh+kDe+3cG/F29jV0kl3Tq2595JA7j8+B46P0KpMOTWbajxDWwrBCY0sN0AtwQiLtU0Ywwrckt4edE2Plixk6oaD+P6pHL/5MFMGJhBpA59VSps6Qxu1azthRW8vzyPmcvz2LJnP3HtIrl8VA+mnXQMfdIT3Q5PKRUAmixUg4r2V/Hhip3M/C6PZdv3AXBCr2RuGN+bc4d1ISk22t0AlVIBpclCHXKgqpbP1ubz/nd5fLVhDzUeQ/+MRO6eOIDJI7rSrWN7t0NUSrkkLJNFVY3H7RBCRq3HsHDzXmZ+l8enq3azv6qWzkmxXDeuFxcc142BXXREk1IqTJPF+vwyTnt4LuP7pjK+bxqjeyeTqLdNDjHGsHpnKTO/y+OD73dSUHaQxJgozhvWlQuO68aJvZK1TpNS6kfCMll06RBLr9R43srO5eVF24iKELJ6drLJo18aQ7t1aHMjd3KLK1i0uZBFmwtZuLmQ3aWVtIuM4LQBaVwwohunDUjXaq9KqUaJHZkaXkaNGmWys7M5WFPLsm37mL9xD/M37mXVzhKMgQ7toxnXJ5XxfVMZ1zeV7p3Cb3GdgrLKHyWH7UUVAKTEt2PMsSmM75vKxMFd6BCnLS6llCUiS40xoxp8LpyTxeEKyw/y9eZC5m+wyWN3aSUAvdPiOblvGuP7pjIqM5kO7UPvDXRfRRWLt9jEsGhzIRsLygFIio1idO8UxhybwknHptIvI0HXr1ZKNUiTRQOMMWwqKGfexr3M37iHxVsKqay2HeMZSTH0y0ikb3oi/TIS6JuRSN+MhKAZLlpRVUNu8QFy9u7n25wiFm4uZM2uUoyBuHaRHJ+ZzElOchjUNanN3XJTSrWOJgsvHKypZWlOMSvyStiQX8bG/HI2FpQdSiAAnZNi6ZuRQL+MekkkPcHnnefVtR527jvAjqID7CiuYEdRBTuKD7CjqILc4gr2llcd2rddZARZx3TkpGNTOenYFIZ170i7KC3ap5RqOU0WreTxGHKLD7Ahv4wNBTaBbMgvY1NBOQfrDc/t2iGWY9MTiGsXSVRkBFERQlSE8zVSiI6MINL5/sfPRRAdKew/WHsoKeQWH2BXyQE89f5ZoiKErh3b0yO5PT06xdEjOY7undrTIzmOQV2StGNaKeUTTSWLsBwN5SsREULPlDh6psRxxqCMQ9trPYbc4go2OMljY34ZW/fup6D0INUeD7UeQ02tocbjcb4aamo99qvHUOs5MkFnJMXQo1McJ/RKpken9nRPjnMSQ3s6J8USpSW+lVIu0mTRCpERwjEp8RyTEs+Z9ZKIt4z5IWlU13poFxVBTJS2DpRSwUuThQtEhOhIIToSvYWklAoJem9DKaVUszRZKKWUapYmC6WUUs3SZKGUUqpZmiyUUko1S5OFUkqpZmmyUEop1aywLPchImXAerfjaIEOQInbQbRAKMUbSrGCxutPoRQruBNvf2NMYkNPhOukvPWN1TcJRiIy3Rhzo9txeCuU4g2lWEHj9adQihXciVdEGi2qp7ehgsMHbgfQQqEUbyjFChqvP4VSrBBk8YbrbajsUGpZKKVUMGjqvTNcWxbT3Q5AKaVCUKPvnWHZslBKKeVb4dqycJWITBSR9SKySUTucbY9LyLfi8gKEXlbRBIaOfZe57j1InJ2U+f0Y6wiIg+IyAYRWSsitzVy7DQR2eg8ptXbPlJEVjrnfEJ8uOh3I/GeLiLLRGSViLwkIg0O3Ah0vCIyQ0QKRGRVvW0Picg653UwU0Q6evt7Ott7icgSZ/t/RKSdL2JtIt4/i0ieiCx3HucEQ7yNxDpCRBY7cWaLyAmNHOvG67aHiMwRkTUislpEbne2X+r87BGRRm+du/F6OIIxRh8+fACRwGagN9AO+B4YBCTV2+cR4J4Gjh3k7B8D9HLOE9nYOf0Y6zXAy0CEs196A8cmA1ucr52c7zs5z30DjAYE+BiY5Oe/7Q6gn7PPX4DrgiTek4EsYFW9bWcBUc73fwX+6u3v6Tz3JjDV+f5Z4CYfvnYbivfPwJ2t+XfxZ7yNxDq77t8OOAeYGwyvA+fcXYAs5/tEYIPz2h0I9AfmAqOC5e/b0CMkWhaNfJr0KqNKgD+pAycAm4wxW4wxVcAbwBRjTKlzXQHaAw3d/5sCvGGMOWiM2Qpscs7X4Dn9FStwE/AXY4wHwBhT0MCxZwOfGWOKjDHFwGfARBHpgk2Mi419Bb8MXOCDWBuL92KgyhizwdnnM2eb6/EaY+YBRYdtm22MqXF+XAx0b+DQBv9dnNfO6cDbzn4v+SrWxuL1UsDjbSRWAyQ533cAdjZwqBuvW4wxu4wxy5zvy4C1QDdjzFpjTHNzwlx5PRwu6JOFiEQCTwGTsJn4ChEZhP1U9qgxpg9QDFzXwLGDgKnAYGAi8LSIRDZxTl/ohv2kWyfX2YaIvADsBgYA/3C2TRaRvzRzbKPn9FOsxwKXO035j0WkrxPrKBH5lxex5voh1sau2RmIqteEvwToESTxNuda7CdYRKSriHzkbG8s1hRgX71kE6hYb3Vum80QkU5BHO8dwEMisgN4GLjXiTWoXgcikgkcByxpYp+g+/sGfbKg8U+/3mTUQH9Sb5Ix5hqgK/ZTxeXOtlnGmD/5+9otFANUGjuE7jlgBoAxJtsYc72rkR3JYD8QPCoi3wBlQC0EbbwAiMjvgRrgVQBjzE5jTIP9AS57BvvhYQSwC/g7BG28NwG/Msb0AH4FPA/B9ToQ21f5DnBH3d2GhgTj3zcUkkVjWbXBjOryJ3WAPJxPto7uzjYAjDG1/HD7xNtjmzynH2LNBd51ts0EhrUw1u4NbPeFBq9pjFlkjBlvjDkBmIe9HxwM8TZIRK4GzgOudG55HK6xWAuBjvJDB77fYzXG5Btjap1bks9hP2gFa7zT+OF1+xYti9XvrwMRicYmileNMe82t389QfH3DYVk0SJB8En9W6Cv06fSDvupd5aI9IFDfRaTgXUNHDsLmCoiMSLSC+iL7XRr8Jz+ihV4DzjN2ecUGn7z/RQ4S0Q6ObcmzgI+NcbsAkpFZLTzu/4MeN8HsTYar4ikA4hIDHA3tqMvGOI9gohMBH4LTDbGVDSyW4O/p5NY5mBvtYF9c/RbrE68Xer9eCGwqoHdgiXendjXK9g7Dxsb2MeV14FzzueBtcaYR1p4eHD8ff3Vc+6rBzAG+49Z9/O9zmMvP4wq+dE+h+9b7+dPnX0bPKcPYz4H+wa7Gfg9Nil/DazE/md7FWd0FDZx/KXesb93jltPvdEYh5/TX7E62zoCHzrxLgKGO9tHAf+qd+y12Ft7m4Br6m0f5fyem4Encebz+DHeh7C39tZjm/cEQ7zA69hbN9XY1tp1zrV3AMudx7POvl2Bj5r798aOiPnGOc9bQIwP/7YNxfuK8zpYgf0g0SUY4m0k1nHAUuxooSXAyGB4HTjnHoe9Zbqi3r/9OdgEnAscBPJx3pfc/vs29Aj6SXlOE2sDMAHbxPoW+Al2SN87xpg3RORZYIUx5unDjh0MvIZtjnYFvsB+WpeGzmmMWR2I30kppUJN0N+GMrZf4lZsq2At8Kbzpn438GsR2YQdFfA8/LjPwtnvTWAN8Alwi7H3Xxs7p1JKqQYEfctCKaWU+4K+ZaGUUsp9miyUUko1K2iTRSMlPl51tq1yZpNGN3H8BSJiRGRA4KJWSqnwFJTJoolyHK9iS2UMxdZXampW5hXAAudra66vlFLKEZTJgsaL8X1kHNixxQ0VYaubUj8OO/Z6ar3tp4rIPBH50GmhPCsiEc5z5SLydxH5HjsPQymllCNYk0WT5Tic208/xQ6HbcgU4BNjK5EWisjIes+dAPwS22I5FrjI2R4PLDHGDDfGLPDJb6GUUmEiWJNFc54G5hlj5jfy/BXY1gjO1/q3or5xWiy12Fmg45zttdi6LUoppQ7T4IpiQaDRwnkich+QBvy87kkR+RTIALKxdXdOB4aKiMEuHGJE5C5n98MnltT9XOkkEKWUUocJ1mRxqHAWNklMBX4iItdjFy+ZYJyFeQCMMfUXNboReMUYUz+ZfAWMd348wTnvNmyZ8EYXKFdKKWUF5W2oJspxPIttQSwSu85uQ9Vlr8CW1a7vHX64FfUttkjYWmBrA/sqpZQ6TJsq9yEip2LXEz7P5VCUUiqkBGXLQimlVHBpUy0LpZRSraMtC6WUUs3SZKGUUqpZmiyUUko1S5OFUkqpZmmyUEop1SxNFkoppZr1/wEHrzu2HDMAeAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  198.29367784345794\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  216.6728287573693\n"
     ]
    }
   ],
   "source": [
    "# List to collect the RMSE for\n",
    "# each 24 hour forecast examined.\n",
    "\n",
    "rmse_ls = []\n",
    "\n",
    "# For every forecast start point:\n",
    "\n",
    "for forecast_point in forecasting_points:\n",
    "\n",
    "    ###### Create forecasting horizon #####\n",
    "\n",
    "    forecast_end = forecast_point + pd.offsets.Hour(23)\n",
    "\n",
    "    # The timestamps of the horizon\n",
    "    index = pd.date_range(\n",
    "        start=forecast_point,\n",
    "        end=forecast_end,\n",
    "        freq=\"1H\",\n",
    "    )\n",
    "\n",
    "    # the forecasting horizon dataframe\n",
    "    f_horizon = pd.DataFrame(columns=[\"CO_sensor\", \"RH\"], index=index)\n",
    "\n",
    "    ##################################\n",
    "\n",
    "    ###### the input data #############\n",
    "\n",
    "    # 24 hs before the first forecasting point\n",
    "    start_point = forecast_point - pd.offsets.Hour(24)\n",
    "\n",
    "    # We create input data to obtain the first prediction value.\n",
    "    input_data = X_test[(X_test.index >= start_point) &\n",
    "                        (X_test.index < forecast_point)]\n",
    "    input_data.loc[forecast_point] = np.nan\n",
    "\n",
    "    ##################################\n",
    "\n",
    "    # predictions\n",
    "    pred = lasso.predict(pipe.transform(input_data))[0]\n",
    "\n",
    "    # Add the prediction to the horizon\n",
    "    # and to the input data\n",
    "\n",
    "    f_horizon.loc[forecast_point] = pred\n",
    "    input_data.loc[forecast_point] = pred\n",
    "\n",
    "    # repeat for additional points in horizon\n",
    "\n",
    "    for i in range(23):\n",
    "\n",
    "        # Re-slice the input data\n",
    "        start_point = start_point + pd.offsets.Hour(1)\n",
    "        forecast_point = forecast_point + pd.offsets.Hour(1)\n",
    "\n",
    "        input_data = input_data[(input_data.index >= start_point)]\n",
    "        input_data.loc[forecast_point] = np.nan\n",
    "\n",
    "        # Obtain the prediction\n",
    "        pred = lasso.predict(pipe.transform(input_data))\n",
    "\n",
    "        # Add prediction to horizon and input data\n",
    "        f_horizon.loc[forecast_point] = pred\n",
    "        input_data.loc[forecast_point] = pred\n",
    "\n",
    "    # join predictions and grand truth\n",
    "    tmp = pd.DataFrame(f_horizon[\"CO_sensor\"]).join(\n",
    "        X_test[\"CO_sensor\"], lsuffix=\"_left\", rsuffix=\"_right\")\n",
    "    tmp.columns = [\"predicted\", \"actual\"]\n",
    "\n",
    "    tmp.plot()\n",
    "    plt.ylabel(\"CO concentration\")\n",
    "    plt.show()\n",
    "\n",
    "    # Determine the RMSE.\n",
    "    rmse_ = mean_squared_error(\n",
    "        y_true=tmp[\"actual\"],\n",
    "        y_pred=tmp[\"predicted\"],\n",
    "        squared=False,\n",
    "    )\n",
    "    print(\"rmse: \", rmse_)\n",
    "\n",
    "    # Append the RMSE to our list.\n",
    "    rmse_ls.append(rmse_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rmse:  135.78585338297697 +- 63.238263701476114\n",
      "Number of days evaluated:  31\n"
     ]
    }
   ],
   "source": [
    "# Mean performance across all 24 hr forecast\n",
    "\n",
    "print(\"rmse: \", np.mean(rmse_ls), \"+-\", np.std(rmse_ls))\n",
    "print(\"Number of days evaluated: \", len(rmse_ls))"
   ]
  }
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